Question

How long is the hypotenuse of a right triangle 24 square inches in area and with one leg 6 inches long? A. 24 inches B. 18 inches C. 12 inches D. 10 inches​

Answer 1

D

Explanation:

area of triangle = 1/2*B*H

Assuming its one leg we write

24 = 1/2*6*h

h= 8

With this info we can use Pythagoras Theorum

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

`x^(2) = 8^(2) + 6^(2)`

`x^(2) = 100`

`√(100)`

`x = 10`