Pythagorean Theorem Multiple Choice

The legs of a right triangle are represented by a and b, and the hypotenuse of the right triangle is represented by c. Which equation represents the Pythagorean Theorem?

• a² + b² = c²

• a² + c² = b²

• a + b = c

Tags

CCSS.8.G.B.8

Select all that apply: which is/are a proof of the Pythagorean Theorem?

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The bottom of a ladder is placed 4 feet from the side of a building. The top of the ladder must be 13 feet off the ground. What is the shortest ladder that will do the job?

• 10 foot ladder

• 12 foot ladder

• 14 foot ladder

Tags

CCSS.8.G.B.8

• 19 feet

• 17 feet

• 18 feet

A baseball diamond at a playground is a square with sides that measure 90 feet. About how long would a straight line be from home plate to second base? Round your answer to the nearest tenth.

• 180 feet

• 127.3 feet

• 16,200 feet

Tags

CCSS.8.G.B.8

What's the distance between the two points?

• 6 units

• 8 units

• 7.2 units

The vertices of a triangle are A(1,2), B(3,4), and C (4,1). What is the length of the shortest side of the triangle.

• 3.16 units

• 2.8 units

• 4.2 units

Select three sides lengths, in centimeters (cm), that can form a right triangle.

• 5 cm

• 6 cm

• 8 cm

• 10 cm

Which measurements, rounded to the nearest tenth of a yard, are the unknown lengths in the figure shown? Choose three.

• 4.0 yd

• 5.8 yd.

• 7.2 yd.

• 8.1 yd.

A kite is flying at the end of a string 500 feet long. If the kite is directly above a point 400 feet from the end of the string, how high is the kite above the ground?

• 400 feet

• 250 feet

• 300 feet