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Zinaida [17]
3 years ago
12

Jared is constructing a rectangular door for a shed. If the door, shown below, has a width of 42 in. and a diagonal support of 9

4 in., what is the approximate height of the door? A. 136 in. B. 84 in. C. 52 in. D. 103 in.
Mathematics
1 answer:
Goshia [24]3 years ago
7 0

Answer:

B

Step-by-step explanation:

A rectangular door for a shed has a width of 42 in and a diagonal support of 94 in. The triangle formed by the rectangle's width (first leg), rectangle's length (second leg) and rectangle's diagonal (hypotenuse) is right triangle. By the Pythagorean theorem,

\text{leg}_1^2+\text{leg}_1^2=\text{hypotenuse}^2.

Thus,

42^2+x^2=94^2,\\ \\x^2=94^2-42^2=7072,\\ \\x=\sqrt{7072}=4\sqrt{442}\approx 84\ in

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