Question

An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 9 inches, and the length of the base is 7 inches. Find the triangle’s perimeter. Round to the nearest tenth of an inch. Thanks!!!

Answer 1

26.3 inches

Explanation:

We separate into 2 congruent triangles. Both have a base of 3.5 and a height of 9 inches. Using pythagoran theorum, we will square 9 and 3.5

81 and 12.25

Add them up and it's 93.25

`√(93.25)`=9.65660395791

Now since it's isosceles, the other side will also be 9.65660395791.

9.65660395791 + 9.65660395791 + 7 =26.3132079158

You want it rounded to the nearest tenth, so 26.3