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4. A right triangle has legs with lengths of 6 feet and 9 feet. The hypotenuse of the triangle, in feet,

is between:
A. 4 and 5
B. 6 and 9
C. 9 and 10
D. 10 and 11
E. 11 and 13

4. A right triangle has legs with lengths of 6 feet and 9 feet. The hypotenuse of-example-1
User MakeMonday
by
7.6k points

2 Answers

10 votes

Answer:

D. 10 and 11

Explanation:

This problem would use pythagorean theorem because we're finding the hypotenuse of a right triangle. This is its standard equation:


a {}^(2) + {b}^(2) = {c}^(2)

The legs represent
a and
b respectively, and
c represents the hypotenuse. After plugging in the legs' respective values, the equation looks like this:


6^(2) + {9}^(2) = {c}^(2) →36 + 81 = {c}^(2) →117 = c^(2)

To isolate
c, you would find the square root of
117. In this case, we're just finding which integers
√(117) is between.
√(100)(=10) is the closest integer value below
√(117) and
√(121)(=11) is the closest integer value above
√(117). So the answer is D. 10 and 11.

User Vikasmk
by
8.4k points
2 votes
To solve for the hypotenuse or the longest side of the triangle, we can simply use the Pythagorean Theorum.

C^2 = A^2 + B^2
C^2 = (6)^2 + (9)^2
C^2 = 36 + 81
C^2 = 117
C = square root of 117
C = About 10.81 feet

So, in conclusion, the hypotenuse or the longest side of the triangle in feet is: D. Between 10 feet and 11 feet.
User Jaketrent
by
7.9k points

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