Question

What is the length of the hypotenuse of the triangle when x=10​?

Answer 1

Answer:

84 (nearest whole number)

Step-by-step explanation:

If x = 10,

Longest leg = (7 x 10) + 4 = 74

Shortest leg = 4 x 10 = 40

Using Pythagoras' Theorem a² + b² = c² (where a and b are the legs and c is the hypotenuse of a right triangle):

⇒ 74² + 40² = c²

⇒ 7076 = c²

⇒ c = √7076 = 84.11896...

⇒ hypotenuse = 84 (nearest whole number)

Answer 2

Answer:

84

Step-by-step explanation:

$\sqrt{ {(40)}^{2} + {74}^{2} } = 84.1$