Question

Find the hypotenuse, c, of the triangle.

Answer 1

Answer: 12.65

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Work Shown:

a^2+b^2 = c^2 ... pythagorean theorem

c = sqrt(a^2+b^2)

c = sqrt(4^2+12^2)

c = 12.6491106406736

c = 12.65

Answer 2

`4 √(10)`

Explanation:

Given,

Height of the triangle = 4

Base of the triangle = 12

Therefore,

Hypotenuse of the triangle

`{(base)}^(2) + {(height)}^(2) = {(hypotenuse)}^(2)`

`= > {(12)}^(2) + {(4)}^(2) = {(hypotenuse)}^(2)`

`= > {(hypotenuse)}^(2) = 144 + 16`

`= > {(hypotenuse)}^(2) = 160`

`= > hypotenuse = √(160)`

`= > hupotenuse = √(5 * 2 * 2 * 2 * 2 * 2)`

`= > hypotenuse = 2 * 2 √(5 * 2)`

`= > hypotenuse = 4 √(10) \: (ans)`