Question

What is the length of the hypotenuse of the triangle?

Answer 1

pythagorean theorem

for a right triangle with legs (2 sides next to the the right angle) length a and b, and hyptonuse (longest side oposite right angle) is c

$a^2+b^2=c^2$

we can see that the legs are 3cm and 7cm

so a=3 and b=7 (you can do a=7 and b=3 but it doesn't matter)

$a^2+b^2=c^2$

$3^2+7^2=c^2$

$9+49=c^2$

$58=c^2$

sqrare root both sides

$\sqrt{58}=c$

$c=\sqrt{58}$

answer is 4th option

Answer 2

Essentially, we just use the pythagorean theorem to solve:

7^2 + 3^2 = c^2

49 + 9 = c^2

58 = c^2

c = sqrt 58

The answer is Option D.