Question

I do not understand how to solve these please help me?

Answer 1

These triangles are called isosceles triangles. They have two angles that are congruent, and thus have two sides which are opposite those angles that are congruent. Using this information, let's solve for x.

Start by setting up the equation:
`4x + 10 = 5x - 25`

Next, move like terms to either side of the equation.
`10 + 25 = 5x - 4x`

Finally, simplify.
`35 = x`

If you need to find the side lengths, simply plug in x to each side.
`3x + 5 = 3(35) + 5 = 105 + 5 = 120` units
`4x + 10 = 4(35) + 10 = 140 + 10 = 150` units
`5x - 25 = 5(35) - 25 = 175 - 25 = 150` units