Chapter 5 Triangles and the Pythagorean Theorem

What is m∠8 if m∠4 = 42°?

• A. 42°

• B. 172°

• C. 62°

• D. 36°

If m∠2 = 138°, what is m∠6?

• F. 32°

• G. 122°

• H. 42°

• I. 172°

A triangle has angles measuring 25° and 72°. What is the measure of the triangle’s third angle?

• 72°

• 180°

• 83°

• 263°

Which of the following could be the side measures of a right triangle? Don't forget to identify the longest side first, then apply the Pythagorean theorem to see if the two sides are equal to each other.

• 12 ft, 5 ft, 14 ft

• 3 ft, 7 ft, 4 ft

• 12 ft, 10 ft, 8 ft

• 10 ft, 8 ft, 6 ft

What is the measure of an exterior angle of a regular decagon?

Hint: How many sides does a decagon have?

Exterior angles are equal to 360°

• 63°

• 45°

• 36°

• 1430°

What is the sum of the interior angles of a regular octagon?

Hint: S=(n-2)180

• 1440⁰

• 1800⁰

• 1080⁰

• 720⁰

Find the distance between points R and S shown at the right. The red lines have been drawn in for you to create your right triangle. Round to the nearest tenth.

• 13 units

• 9.4 Units

• 10 units

• 8.3 units

How far up the tree is the cat? Round to the nearest tenths place if necessary.

Hint: Are you looking for the leg or the hypotenuse?

• 10.9 feet

• 169 feet

• 8 feet

• 12.5 feet

One leg of a right triangle is 2centimeters long. The length of the second leg is 3 centimeters. What is the length of the hypotenuse? Round to the nearest tenth if necessary.

• 5 cm

• 6 cm

• 3.6 cm

• 5.6 cm

Find the value of x in the triangle.

• 134°

• 156°

• 112°

• 66°