Find the measures of the angles of a right triangle whose legs are 22 cm and 35 cm long. Round to the nearest degree.

Q: A triangle has a length of 38 cm and 42 cm on its two sides, and the angles opposite to these sides…

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Q: A right triangle has a base of 4, a hypotenuse of 12, the height is not given. What is the measure…

A: we apply the sine rule to find unknown angle

Q: Your neighbor's yard is in the shape of a triangle, with dimensions 120 ft, 84 ft, and 85 ft. Is the…

A: Given yard is in the shape of triangle, with the dimensions 120 ft, 84 ft  and  85 ft.

Q: Is it possible to draw a triangle whose sides measure 7,7,and 14?

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Q: In a right triangle with a leg of 5 and a hypotenuse of 10, find the measures of all angles

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Q: What is the height of a right triangle with an angle that measures 45° and a base of 12. The height…

A: Suppose ABC Is right angle triangle Base BC=12 unit <ABC= 450 Find Height AC we know that…

Q: Find the area of a parallelogram if the angle between two of the sides is 60° and the two sides are…

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Q: A parallelogram has adjacent sides of length 4 cm and 6 cm. If the included angle measures 52°, find…

A: We use Trigonometry ratios  Area of parallelogram = Base X Height

Q: The arm and blade of a windshield wiper have a total length of 34 inches. If the blade is 25 inches…

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Q: Find the measures of the missing angles. 116a 82°

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Q: Is a triangle with sides of lengths 12, 35, and 37 acute,right, or obtuse?

A: Given: A triangle with the sides of the lengths 12, 35, and 37

Q: A pilot is flying over a straight angles of depression to two mil 38° and 42°, as shown in the fi

A: The flight path of the plane and the highway would be parallel, thus angle A would be the alternate…

Q: What is the smallest and the biggest angles of a triangle whose sides are 26 cm, 18 cm and 24 cm…

A: Given the sides of a triangle a=26cm, b=18cm, c=24cm The triangle diagram is as follows         Here…

Q: What is the measure of angle R, given the largest triangle is a right triangle?

A: Given: The largest triangle is a right triangle. To Find: Measure of angle R

Q: Estimate the error made in calcutating the area of the triangle ABC in which the sides a and b are…

A: Given: sides a= 25 cm and b= 16 cm  Angle C =60°=60°π180°=π3 Error in angle C is ∂c=12°×π180°=π360

Q: In a right triangle, what do you call the ratio of lengths of the adjacent side of an acute angle to…

A: Sine , Cosine and Tangent are the three basic trigonometric ratios associated with a right angle…

Q: A triangle has sides of 4cm, 6cm and 8cm. Is the triangle a right-angled triangle?

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Q: Which lengths represent the sides of a right triangle?

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Q: The radius of the base of a right circular cone measures 5 in. If the altitude of the cone measures…

A: Given that the radius of the base of a right circular cone measures 5 in. The altitude of the cone…

Q: What is the measure of the angle opposite the side that is 17 km long?

A: Given,            The measure of the angle opposite the side that is 17 km long.

Q: b. Construct a right angled triangle having the longest side 84 mm and one angle 38⁰. Measure the…

A: A detailed solution is given below.

Q: The lengths of the sides of a triangle are 5 cm, 12 cm, and 13 cm. Find the lengths, to the nearest…

A: Consider the given: And AD, BE and CF are the angle bisectors. By using angle bisector theorem:

Q: A right triangle has one angle that measures 30°. What is the measure of the other acute angle?

A: Sum of all angle of a triangle = 180° Suppose triangle ABC,  One angle in right triangle = 90°…

Q: If the width of the frame is 3 feet, and the height is 8 feet, how long must the diagonal cross…

A: The diagonal cross section is:-

Q: Suppose a right triangle has a leg that measures 3 and a hypotenuse that measures 12. What is the…

A: A right triangle has a leg that measures 3 and a hypotenuse that measures 12

Q: Find the length of the altitude to the 26-in. side of a triangle whose sides are 10, 24, and 26 in.…

A: Sides of the triangle are 10, 24 and 26 inches. Clearly, 102+242=262 Therefore the given triangle…

Q: What is the height of a right triangle with an angle that measures 60 degrees and a base of 14…

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Q: 8 cm 50

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Q: show that the sum  of the measures of the three interior angles of a triangle is 180 degrees

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Q: Determine the third interior angle, aside from the smallest and the biggest of the triangle whose…

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Q: An isosceles triangle has an area of 29 cm2, and the angle between the two equal sides is 5π/6. Find…

A: Given,

Q: A triangle with an angle measure of 90° and lengths of 4 cm, 7 cm, and 4 cm is

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Q: What is the sum of the measures of the exterior angles of the polygon shown below? If necessary,…

A: Concept :  Exterior angle of n-sided polygon is 360n sum of exterior angle of any polygon is always…

Q: 2. From a point on the ground 12 ft from the base of a flagpole, the angle of elevation of the top…

A: #2  Find the length of the flagpole

Q: A lot is in the shape of a triangle whose two sides measure 150 m and 100 m, with the angle between…

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Q: Find the sum of the measures of the interior angles of a pentagon.

A: A pentagon ABCDE is shown in the figure below.

Q: Is a triangle with the side lengths of 15, 20, and 26 acute, right, or obtuse?

A: Proceed as shown below...

Q: Find the length of the third side. If necessary, round to the nearest tenth. in the picture

A: It is given that, The length of the perpendicular side of the right-angle triangle is, P=12 length…

Q: The diagonals of a rectangle enclose an angle of measure 78°. If the perimeter of the rectangle is…

A: Let the length and the breadth of the rectangle be l and b.   Then we have,…

Q: State the formula for the area of a triangle given two sides and theincluded angle.

A: Our Aim is to state the formula for the area of a triangle given two sidesand included angle.

Q: Find the measures of the missing angles in the figure below: a 34° C b

A: Looking at the figure you can see that angle a is angle contained in the first quadrant.  And each…

Q: A triangle has side lengths of 8 cm, 9 cm, and 14 cm. OClassify it as acute, obtuse, or right. A.…

A: Ans (1) we have given side lengths of a triangle8 cm , 9 cm , 14 cm⇒ Let a = 8, B= 9, c=14⇒Adding…

Q: The corresponding sides of two similar triangles are 7 cm and 8 cm. What is the ratio of their…

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Q: Construct a triangle with a side length 15cm,a side length 5cm ,and an angle of 44 degrees

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Q: A welder has four pieces of scrap steel angle of lengths 3 1 4 ft, 2 3 8 ft , and 4 3 16 ft . If…

A: Lengths of the scrap steel angle are 314 ft, 238 ft and 4316 ft

Q: The ratio of the measures of the three angles of triangle are 3:6:1. 1. Find the actual measurement…

A: Given,   Angles are in the ratio = 3:6:1   Let the angles be 3x, 6x, x Sum of angles =180…

Q: How long is the ladder which makes an angle of 30° with the side of the house and whose foot is…

A: Given: The ladder makes an angle of 30° with the side of the house and whose foot is 204cm away from…

Q: A parallelogram has an area of 200 cm². The side lengths are 90 cm and 30 cm. Find the measures of…

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Q: A circle is inscribed in a square. If the perimeter of the square is 32 cm, find the circumference…

A: Answer is given below

Q: Find the area of a triangle having two sides of lengths 24 meters and 10 meters and an included…

A: Consider the given sides as, a=24, b=10 and C=62°