3. In a right triangle ABC, the right angle is at vertex C and its area is 450 cm². If AB= 100 cm, find the length of the line segment drawn from vertex C to side AB and perpendicular to it. A) 8 cm B) 11 cm C) 9 cm D) 10 cm

Q: 9) 4 mi 1.5 mi

A:

Q: 3.) A 50ft by 40ft one-story house sits in lot that is 80 ft by 60ft. If the edge of the house to…

A: (3) Given area of house 50 ft by 40 ft. Area of the lot 80 ft by 60 ft. If the edge of the house to…

Q: 3. Construct a triangle XYZ. Construct circle A inscribed within the triangle. Construct circle B…

A: Here we take a triangle .Now Circulcircle of a triangle has a center at the intersection of all…

Q: 9) Solve the triangle that has sides 4 ft, 5 ft, and 8 ft. Draw a picture of the triangle with the…

A:

Q: Given right triangle ABC with its right angle at vertex C. Let side BC = a, CA b, and AB c. Use…

A: Stewart's theorem provided the relation between the lengths of the sides of a triangle and the…

Q: Q7. In a triangle ABC, find remaining sides and angles.i) b = 56’, c = 24’, A = 70°,ii) c=5’ , B=…

A: As two sides ans one angle of the triangle ABC are given. To find the remaining Angles and sides,…

Q: Use the following theorem to construct a triangle similar to the given triangle but with sides that…

A: We need to construct a similar triangle to the given triangle so that the sides should be in…

Q: 38.) What is the circumference of a circle with radius 21?

A:

Q: State if the three side lengths form an acute, obtuse, or right triangle. 13) 17 yd, 4√7 yd, √401 yd…

A: If the sum of square of the two sides is equal to the square of the third side, the triangle will be…

Q: Use a ruler and a protractor to draw a regular pentagon. Then constructthe perpendicular bisectors…

A: Consider the given: For regular pentagon, the sum of all interior angles = 540 degrees. Since, all…

Q: What is the sum of the measures of the interior angles of a regular polygon?

A:

Q: 20.54 cm 18 cm

A:

Q: When a polygon reflects across the y-axis, how do the coordinates of the points change? A) The sign…

A: Image in y axis

Q: A triangle has vertices A (2, 3, 7), B (0,-3, 4) and C (5, 2,-4). a) Examine largest angle in the…

A: Given A(2,3,7), B(0,-3,4), C(5,2,-4) Using distance formula a=√[(0-5)2+(-3-2)2+(4+4)2] a=√114   b =…

Q: Do the following represent the lengths of the sides of a right triangle? a) a = 5, b = 12, c = 13 b)…

A: a) Given: The sides of a triangle are, a=5, b=12, c=13 . Here,  a2+b2=52+122            =25+144…

Q: 10. a) Show that the quadrilateral with vertices at P(0, 2, 5), Q(1, 6, 2), R(7, 4, 2), and S(6, 0,…

A:

Q: The figure below is an equilateral triangle with sides of length 6. The area of the triangle is

A: Area of an equilateral triangle of side a is =34a2

Q: Show that the median to the base of an isosceles triangle is perpendicular to base.

A: Properties of the isoceles triangle

Q: Do the following lengths form a right triangle?

A: A right-angled triangle follows the Pythagorean theorem c2=a2+b2. we will check the same for all the…

Q: Find the unknown measure for each triangle.

A:

Q: A rectangular garden is 48 meters long. A fence along a diagonal of the garden measures 55 meters.…

A: Here we use the concept of trigonometric ratio.

Q: 10. Use the Pythagoras theorem to find the missing lengths of the following triangles. The theorem…

A:

Q: 2. Five exterior angles of a pentagon are 2x– 20, 2x + 50, 3x + 10, 3x and 50°. a) Find the value of…

A:

Q: What is the radius of the circle circumscribing a triangle where a = 30 cm, b = 18 cm, and B = 30°?…

A:

Q: 34. Prove that an altitude of an acute scalene triangle cannot bisect the angle from whose vertex it…

A: We will prove that an altitude cannot bisect the angle from whose vertex it is drawn as following.…

Q: Determine the type of triangle represented if the lengths of its sides are: a) a = 4, b = 3, and c =…

A: To determine the type of triangle on the basis of lengths of its sides. Let c is longest of a…

Q: 27.) Find the similarity ratio of two triangles with areas 81 feet2 and 100 feet2.

A: Let the area of two similar triangles be A1 = 81 feet2 and A2 = 100 feet2 Hence, the similarity…

Q: 6) The diagonals of a rhombus are 6 inches and 8 inches long. Find the area of that rhombus. Hint…

A:

Q: 8. a) Construct a paralleiogram given its sides are 4cm and 6cm, with an angle of 40°. b) Explain.

A: