Question

in an abc triangle, the hypotenuse is 10 and the other sides are x, the measurement of angle B is 90 deg, what is the value of x

Answer 1

x =
`5√(2)`.

Explanation:

The question says that the hypotenuse is 10, while the other two sides are both x. That means that the triangle is a 45-45-90 angle.

Because this is a 45-45-90 triangle, the proportions of the side lengths are 1-1-sqrt(2).

Since the hypotenuse is 10, and the side length is x, we can make a proportion.

`(10)/(√(2)) =(x)/(1)`

`x√(2)` = 10

x =
`(10)/(√(2) )`

x =
`(10 * (√(2) ))/((√(2))(√(2) ) )`

x =
`(10√(2) )/(2)`

x =
`5√(2)`

Hope this helps!