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Chapter 7 Review - Pythagorean Theorem and Dista ...
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How long of ladder is needed to reach 14 feet high in a tree to reach a cat if the ladder las to be 5 feet from the base of the tree?
14.9 feet
What is this called?
leg
Do the side lengths 27, 35, and 42 form a right triangle?
No
Which point is closer to the black point? Red or green?
red point
Find the distance between the two points shown.
7.1 units
Find the distance between (-19, 3) and (-5, -7).
17.2 units
Find the distance between (0, 0) and (28, 12). Round your answer to the nearest tenth.
30.5 units
Find the distance between (4, 9) and (-3, 17). Round your answer to the nearest tenth.
10.6 units
Find the missing length.
37.7
Find the length of the hypotenuse.
37.5 ft
The hypotenuse of a right triangle is 111 cm and one of the legs is 36 cm. What is the length of the other leg? Round to the nearest tenth if necessary.
105 cm
The legs of a right triangle are 11 units and 60 units. What is the length of the hypotenuse? Round to the nearest tenth if necessary.
61 units
The side lengths of a triangle are 4.8, 9, 10.2. Do these lengths form a right triangle?
Yes
The side lengths of a triangle are 2.4, 2.8, and 13.6. Do these lengths form a right triangle?
No
The side lengths of a triangle are 15, 18, and 23 inches. Do these lengths form a right triangle?
No
The side lengths of a triangle are 21 inches, 220 inches, and 221 inches. Do these lengths form a right triangle?
Yes.
What is the length of the missing leg? Round your answer to the nearest tenth if necessary.
13.5 m
The side length of a square is 16 cm. What is the length of the diagonal? Round your answer to the nearest tenth if necessary.
22.6 cm
Find the length of the hypotenuse. Round your answer to the nearest tenth if necessary.
16.3 ft
What is this called?
the distance formula
What is this side of a right triangle called?
hypotenuse
Explain what the Pythagorean Theorem means in words.
leg squared plus leg squared equals hypotenuse squared (or the sum of the squares of the legs is equal to the square of the hypotenuse)
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