Question

for # 14 - 15, clearly circle the best answer for work must be shown in order to rec

1. the legs of an isosceles right triangle are 5 inches long. what is the length of the hypotenuse of the triangle to the nearest inch?

a. 7 in
b. 10 in
c. 25 in
d. 50 in

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(a\) and \(b\) are the legs and \(c\) is the hypotenuse. Given \(a = b=5\) inches.
So, \(c^{2}=5^{2}+5^{2}\)
\(c^{2}=25 + 25\)
\(c^{2}=50\)

Step2: Solve for \(c\)

\(c=\sqrt{50}\)
\(c=\sqrt{25\times2}=5\sqrt{2}\approx5\times1.414 = 7.07\)

Answer:

A. 7 in