Question

8 pythagorean theorem
what is the value of c in the figure given below?
right triangle with legs 3 ft and 7 ft, hypotenuse c
a) √58 ft
b) √62 ft
c) √56 ft
d) √60 ft

Explanation:

Step1: Recall Pythagorean Theorem

$c^2 = a^2 + b^2$ (c is hypotenuse)

Step2: Substitute values

$a=3$, $b=7$, so $c^2 = 3^2 + 7^2 = 9 + 49$

Step3: Calculate and find c

$c^2 = 58$, so $c = \sqrt{58}$

Answer:

A. $\sqrt{58}$ ft