Question

Help! immediate algebra!

Answer 1

Area of the triangle
`=(5)/(12)\ x^2`

Solution:

Base of the triangle =
`(5)/(6)x`

Height of the triangle =
`x`

Formula for the area of the triangle:

Area of the triangle =
`(1)/(2)\ {bh}`

Substitute base and height in the formula of the area of the triangle.

`$=(1)/(2)\ *(5)/(6)x* x`

Using exponential rule:
`a^m*a^n=a^(m+n)` so that
`x^(1+1)=x^2`

`$=(5)/(12)\ x^2`

Hence area of the triangle
`=(5)/(12)\ x^2`.