What is the length of the hypotenuse of the triangle when x=10?
The length of the hypotenuse is about
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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:
84
Step-by-step explanation:
[tex] \sqrt{ {(40)}^{2} + {74}^{2} } = 84.1[/tex]