42. Proof Use the diagram below and the theorems of this lesson to prove the Pythagorean Theorem.

    

43. Proof If an equilateral triangle is inscribed in a circle, prove that the tangents to the circle at the vertices form an equilateral triangle.

Standardized Test Prep

GRIDDED RESPONSE

SAT/ACT

For Exercises 44 and 45, use the diagram below.

44. If B C = 6 , D C = 5 , b c equals 6 comma . d c equals 5 comma  and CE = 12 , equals 12 comma  find AC.

45. If m ∠ C = 14 m angle , c equals 14  and m A E ⌢ = 140 , m , modified eh e with frown above . equals 140 comma  find m B D ⌢ m , modified b d with frown above

    

46. The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments of length 6 and 18. What is the length of the altitude to the nearest tenth?
47. A rectangular prism measures 3 cm × 4 cm × 5 cm . 3 cm times 4 cm . times 5 cm .  The length of the longest side of a similar rectangular prism is 12 cm. What is the volume of the larger prism to the nearest tenth?

Mixed Review

See Lesson 12-3.

Find the value of each variable.

48. 
49. 
    Image Long Description

See Lesson 8-3.

Find the value of x to the nearest whole number.

Get Ready! To prepare for Lesson 12-5, do Exercises 53–55.

See Lesson 1-7.

Find the length of each segment to the nearest tenth.

Table of Contents