Question

A right triangle with an area of ( x 2 − 4 ) u n i t s 2 (x 2 −4)units 2 , and it has a leg that measures ( 2 x + 4 ) u n i t s (2x+4)units. Determine the length of the other leg of the triangle.

Answer 1

x - 2 units

Explanation:

According to the question, the data provided is as follows

The area of the triangle with x^2 - 4

And, the leg has 2x + 4

Based on the above information, the length of the triangle other leg is

Let us assume

y = other leg lengths

So, the area of a triangle =
`= (1)/(2) * b* h`

Now

`x^2 - 4 = (1)/(2) (2x+4)y`

`(x-2)(x+2) = (1)/(2) 2(x+2)y`

So,

(x-2)(x+2) = (x+2)y

And, finally

x - 2 = y

Therefore the length of other leg is x - 2 units