Use the results from Exercises 36 and 37 to find the length of the radius of the inscribed circle for a triangle with sides of lengths a) 8, 15, and 17. b) 7, 9, and 12.

Q: Find the sum of the interior angles of a dodecagon. Show your work to support your answer. B I !!!

A:

Q: 7. Consider the length of the perpendicular from point to side in the given triangle. Show that

A: The sides and the angles of a triangle are related to each other by the trigonometric functions.…

Q: 8. In AABC, ZA = 40° and c = 37 cm. a) For AABC to be a right triangle, what is the length of a? b)…

A: To find the length of A in right angled triangle ABC.

Q: Prove that the angles at the base of an isosceles triangle are equal.

A: To prove: The angles at the base of an isosceles triangle are equal. Proof: Let an isoscles triangle…

Q: Find the area of a triangle with sides of length 9 and 13 and included angle 56°.

A:

Q: In Exercises 1-6, identify all triangles in the figure that fit the given description. 1.…

A: Given:  To identify all the 6 triangles in the given figure.

Q: A triangle has circumcenter with sides 170.4 m, 198.8 m, and 227.2 m. Determine the distance from…

A:

Q: Prove that every equilateral triangle is equiangular, and vice versa.

A: Prove that every equilateral triangle is equiangular, Proof : In△ABC, AB=BC=AC…

Q: Is it possible for a trapezoid to have sides of lengths 3,7,5, and 11? Address ALL possible…

A: Let's say the trapezoid has side lengths a, b, c, d, such that sides a and c are parallel to each…

Q: In quadrilateral ABCD, it is given that AB = CD and BC = DA. Prove that angles ACD and C AB are the…

A: Given: in quadrilateral ABCD if AB=CD and BC=DA prove angle ACD and angle CAB are of same size

Q: In the sketch O is the centre of the circle and Prove that C =D. %3D C and D are angles in segment…

A:

Q: Given rectangle ABCD, let P be the point outside ABCD that makes triangle CDP equilateral, and let Q…

A: According to question given that ABCD is rectangle ∆CDP is an equilateral triangle∆BCQ is an…

Q: Given rectangle ABCD, let P be the point outside ABCD that makes triangle CDP equilateral, and let Q…

A: The given figure is: where ABCD is a rectangle and PCD and BCQ  are equilateral triangles.

Q: In the diagram below of circle O, chord CD is parallel to diameter AOB and mCD = 130. %3D A What is…

A: As per our guideline we are supposed to answer only one question. Please repost other question as…

Q: Suppose that ABCD is a trapezoid, with AB parallel to CD. Let M and N be the midpoints of DA and BC,…

A:

Q: Prove: If the ray that bisects an angle of a triangle is perpendicular to the side that it…

A: To prove  if the ray that bisects an angle of a triangle is perpendicular to the side that it…

Q: The diagonals of a non-isosceles trapezoid divide the midline into three segments, whose lengths are…

A:

Q: In the accompanying diagram, isosceles triangle ABC is inscribed in circle 0 with diameter AB. Find…

A:

Q: Let AABC be an equilateral triangle with defect . What is the measure of each angle?

A:

Q: In equilateral triangle ABC, side AB = 5x + 3 and side BC = 2x + 9... What is the perimeter of the…

A: Step: 1 Equilateral Triangle:- A triangle, in which every sides all three sides have the same…

Q: Give the most specific name to this shape based on the evidence given in the diagram Square…

A:

Q: Two congruent intersecting circles B and D (not shown) have a line (segment) of centers BD and a…

A: The figure is drawn as shown in the figure with the give conditions.B and D are the centers of two…

Q: This isosceles triangle has two sides of equal length, a, that are longer than the length

A: If isosceles triangle has two sides of equal length means it is isosceles right triangle.

Q: a) What is the general name of the point of concurrence for the three perpendicular bisectors of the…

A: The perpendicular bisector of the side of a triangle is the line perpendicular to the side and…

Q: Which lines or line segments or rays must be drawn or con- structed in a triangle to locate its a)…

A: Given:

Q: Consider the triangle with vertices at R(- a, 0), S(a, 0), and T(0, b). Explain why ARST is an…

A: Given:

Q: In an isosceles triangle with vertex angle of 60° and legs 10 m long, the length of the base is____?

A: The vertex angle of the isosceles triangle is 60° and legs are 10 m long. Then the sum of the other…

Q: Does a regular pentagon have (a) an incenter? (b) a circumcenter?

A: A regular pentagon has 5 vertices, 5 equal sides and 5 equal angles. A regular pentagon have an…

Q: CONSTRUCT EQUILATERAL TRIANGLE UPON AB AS THE BASE. At

A: According to question given thatAB is the base of the equilateral triangle and we have to construct…

Q: Prove that an exterior angle of a regular polygon is equal to the angle at the center?

A: Let us consider a regular n-polygon  We know that the sum of the exterior angles of a polygon is =…

Q: Write a complete proof to prove that the base angles of an isosceles trapezoid are congruent

A:

Q: In concave quadrilateral ABCD, the angle at A measures 40°. AABD is isosceles, BĆ bisects ZABD, and…

A: Given: The value of Angle A measures 40°. The side BC bisect ∠ABD and DC bisect ∠ADB. The triangle…

Q: In the accompanying diagram of circle O, AB || CD, BC is a diameter, and radius AO is drawn. If…

A:

Q: If the area of a rhombus is 112 cm? and one of its diagonal is 14 cm find its othe

A: topic - area of rhombus from its diagonals

Q: Given that AD and AB are congruent, and DC = BC, use a triangle congruence criterion to prove that…

A: Prove that Angels DAC and BAC are the same size

Q: Find the area of a triangle that has sides of length 4 and 5, with an angle of 41° between those…

A: Directly use the formula for the area of triangle when two sides and angle between them is given.

Q: The coordinates at the vertices A,B, and C of the triangle ABC are (-3,7), (2,19), and (10,7)…

A:

Q: Measurements are made on quadrilaterals ABCD and PQRS, and we find that angles A, B, and C are the…

A:

Q: Find the measure (in degrees) of a central angle of a regular polygon that has 20 diagonals.

A: This question is related to polygons, we will solve it using given information.

Q: In AABC, a = 2.3 cm, c = 3.1 cm, and ZA = 28°. Determine two possible measures for ZC, rounded to…

A: Solution is given below:

Q: 4) The Pythagorean Theorem is only true for what type of triangle?

A: We know that Pythagorean theorem is only used in right angle triangle In a right angle triangle by…

Q: Prove that if a point is contained in two angles of a triangle, then it is contained in the interior…

A: In a triangle, any two angles are adjacent (i.e, sharing a common hand)

Q: Prove that the segment that joins the midpoints of two sides of a triangle has a length equal to…

A: Given:  AM¯=BM¯ ________ (1) AN¯=CN¯ To prove: MN¯=12BC¯ Construction: Extend MN¯ to a point D and…

Q: Use the Pythagorean Theorem's converse to prove that a triangle with sides of lengths 11,60, and 61…

A:

Q: Find the area of the parallelogram. 2.4 in 4.4 in 5 in The area is Lin?.

A: we have to find the area of the parallelogram

Q: In the accompanying diagram of AABC, AB = 6, BC = 8, and AC = 12. Point X, Y, and Z are midpoints of…

A: Solve the following

Q: Which fact about the angles formed by parallel lines is used in the proof that the diagonal of a…

A:

Q: 9. In an isosceles trapezoid, connecting the midpoints of adjacent sides forms which of the…

A:

Q: Given an acute-angled triangle ABC, construct a square with one side lying on BC while the other two…

A: Image is attached with detailed explanation.

Q: In Exercises 1-6, identify all triangles in the figure that fit the given description. 1. isosceles…

A: