Consider a right triangle whose two short sides have lengths of 5 and 12 feet, respectively. Then the smallest angle in that triangle is degrees.

Q: What is the sum of the measures of the interior angles of a convex 20-gon? The sum of the measures…

A: The sum of the measures of the interior angle of a polygon that has n sides is n-2·180°.

Q: Can the sides of a triangle have lengths of 15, 15, and 3? If so, what kind of triangle Is it? yes,…

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Q: Are the triangles similar? If so, which similarity theorem is used?

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Q: Can the sides of a triangle have lengths 13, 2, and 2?

A: To check: If a triangle can have length as 2, 2, 13.

Q: If two triangles are similar, then corresponding anglesare________ and the lengths of corresponding…

A: Two triangles are said to be similar if their corresponding angles are congruent…

Q: Theorem 1. If a parallelogram has a right angle, then it has four right angles and the parallelogram…

A: Parallelogram: It is a special type of quadrilateral whose opposite sides are parallel and equal,…

Q: Which theorem or postulate proves the two triangles are similar? The picture is not drawn to scale

A: Similar triangles can be found using three theorems:  AA SAS SSS

Q: One way to show that two triangles are similar is to show that

A: One way to show that two triangles are similar is to show that corresponding angles in triangles are…

Q: State what additional information is required in order to know that the triangles are congruent for…

A: Solution of the problem as follows

Q: The two legs of an isosceles triangle have length of 1. If the angle between the two legs is 120…

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Q: Draw two triangles ABC and A'B'C' on different planes such that the two triangles are perspective…

A: We need to draw two triangles such that the two triangles are perspective from a line and from a…

Q: if a triangle has a length of 3  and a height of 2 what is the angle opposite of 2

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Q: Consider the figures. Which two triangles are congruent?

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Q: Can the sides of a triangle have lengths of 9, 12, and 33? If so, what kind of triangle is it?

A: We know that ,  In triangle ,  The sum of the length of any two sides of a triangle must be greater…

Q: If two triangles are similar, then corresponding anglesare and the lengths of corresponding sides…

A: If two triangles are similar, then corresponding angles are equal and the lengths of corresponding…

Q: Can the sides of a triangle have lengths of 7.8, 0.2, and 7.3? If so, what kind of triangle is it?…

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Q: Find the measures of the parts of the right triangle that are not given.

A: Given,            A right triangle BCA is given below :

Q: If a triangle has no congruent sides, it is called_____?

A: Given:If a triangle has no congruent sides, it is called______

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: Given a triangle NMQ (not shown), <M is a right angle , then ;

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Q: For a triangle, which two points of concurrence could be located outside the triangle?

A: Which point of concurrence could be locatedoutside the triangle

Q: Given the sides, classify the triangle as right, acute, obtuse or not a triangle. 11, 13, 25 obtuse…

A: The correct answer is option B. Given sides 11,13,25 To check this sides can make a triangle use…

Q: If the measure of each angle of a triangle is less than 90, the triangle is called____?

A: Given: The length of each angle of a triangle is less than 90° Since, The Sum of all angles of…

Q: If a triangle has two angles that measure 45 to 90 degrees, what is the measure of the third angle?

A: Given problem is : If a triangle has two angles that measure 45 to 90 degrees, what is the measure…

Q: Is it possible for a triangle to be: a) an acute isosceles triangle? b) an obtuse isosceles…

A: Triangles are the two-dimensional figures bounded by three sides. The triangles are classified on…

Q: In a right triangle, the longest side opposite the right angle is called the _________and the other…

A: Consider a right triangles.

Q: An angle that is inscribed in a semicircle is a straight angle. О True

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Q: Can the sides of a triangle have lengths of 11, 26, and 37? If so, what kind of triangle is it? yes,…

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Q: Given that the two triangles shown are congruent, explain one way to verify that the corresponding…

A: Given: The two triangle are shown are congruent  To Explain: The one way to verify that the…

Q: Use the converse of the Pythagorean Theorem to show that a triangle whose sides are of lengths 11,…

A: Given: A triangle whose sides are of lengths 11, 60, and 61.

Q: The trusses of the roof of a house are in the form of an isosceles triangle. If the sides have…

A: Given :  A isosceles triangle with the sides 4m, 4m and 7m.   To find :  Measure of angle formed by…

Q: Is there some kind of triangle such that the perpendicular bisector of eachside is also an angle…

A: In a triangle, The perpendicular bisector of each side is a line that is perpendicular to the side…

Q: Verify that line segments of length 8, 19, and 25 cm form a triangle and classify the triangle as…

A: Triangles:  Triangle is a closed figure bounded by three line segments. A triangle can be Scalene,…

Q: Can the sides of a triangle have lengths 0.2, 0.5, and 0.7?

A: According to the first triangle inequality theorem, the lengths of any two sides of a triangle must…

Q: what is the measure of an interior angle of a regular nonagon?

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Q: A triangle has one angle of 120°, what must be true about the other two angles?

A: One of the angles of triangle is 180° .    Sum of angles in triangle is 180°    Thus,  Sum of other…

Q: Can the sides of a triangle have lengths of 38, 38, and 5? If so, what kind of triangle is It? yes,…

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Q: Can the sides of a triangle have lengths 5, 11, and 14?

A: Given,           The side lengths of the triangle are 5,11 and 14.

Q: ) Is it possible to draw a triangle with base angles that are obtuse? If it is, draw a picture of…

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

A: Proceed as shown below...

Q: Can the sides of a triangle have lengths of 29, 28, and 8? If so, what kind of triangle is it? yes,…

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Q: Construct a right triangle that has acute angle A and hypotenuse of length c.

A: Construct a right triangle that has acute angle A and hypotenuse of length c. From the given data…

Q: What is the measure of one exterior angle of a regular hexagon?

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Q: Are the two triangles not drawn to scale similar? If so explain why they are.

A: Check similar or not

Q: Draw a triangle in which all the sides are different lengths.

A: The triangle in which all sides are of different lengths is known as scalene triangle.

Q: Can the sides of a triangle have lengths of 7.4, 6.5, and 9? If so, what kind of triangle is it?…

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Q: If you are given all three sides of a triangle (SSS), how can you tell whether it has a right angle?

A: If square of one side is equal to sum of squares of another two sides then we can say pythagorean…

Q: The sides of an angle inscribed in a semicircle are perpendicular    True or False?

A: As per given condition: We know that straight line makes an angle of 180 degrees. ∠AOC=180∘