Question

a base of the tent measures 96 inches wide, and the length of the top point to the tent corners of the base is 102 inches.
what is the length of the pole that is needed to support the middle of the tent?

Answer 1

Is this what they are saying?

Answer 2

yes.

Answer 3

Awesome. Since the triangle has the same lengths on two sides, it must be an isoslces dtriangle, right?

Answer 4

yea. but the answer choices are A) 90 B)96 C)180 and D)72

Answer 5

Thats fine. That means the base of of the triangles is \(\frac{96}{2}=48\) inch, right?

Answer 6

Ok. You know that the tent is an isocles triangle, which means that two of the lengths are the sameWhats so special about isocles triangles is that if you draw a line down the middle, you split the last length in half.

So? Well, now you know the length of the two triangles on the left and right. 96/2 = 48.