Question

Find the length of AB and type your numeric answer in the box below.

Hint: Since all three sides are equal, all three angles are equal, too. Use the triangle angle sum to write an equation and solve for x.

Answer 1

AB = 18

Explanation:

Oh man these are so much fun!

So for the angles:

A + B + C = 180 deg

And the sides:

Well, we don't know yet

Let's solve for x:

Since all the sides are equal (and there are three sides) we can do 180 / 3 to find each angle. So, each angle is 60 deg

6x = 60

Divide both sides by 6:

x = 10

Now for the sides:

x + 8 = BC

10 + 8 = BC

BC = 18

Since all the sides are equal, AB = 18 as well!

Answer 2

Explanation:

In a right triangle, the sum of the squares of the

lengths of the legs is equal to the square of the length

of the hypotenuse. The length of the hypotenuse is 13

and the lengths of the legs are 5 and x. ansswer is 12