Question

How do you find the missing sides of a right triangle given a = 8, b = ____, c = 10?

Answer 1

`color(blue)(b=6`
So the sides are , `8,6 and 10`

Explanation:

Since it is a right angled triangle , the three sides must satisfy the conditions of Pythagoras theorem

Assume that `c=10` , is the hypotenuse as it is the larger of the two given sides.

Applying the Pythagoras theorem:
`a^2 + b^2 = c^2`
`8^2 + b^2 = 10^2`
`b^2 = 100 - 64`
`b = sqrt 36`
`color(blue)(b=6`
So the sides are , `8,6 and 10`