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 30 inches, and the length of the base is 10 inches. Find the triangle’s perimeter. Round to the nearest tenth of an inch.

Perimeter = 78.7 inches
Step-by-step explanation:
From the given question, applying the Pythagoras theorem to one of the congruent triangles formed, we have;
= +
= +
=841 + 81
= 922
hyp =
= 30.3645
The perimeter of the triangle can be determined as;
perimeter = + +
= 30.3645 + 18 + 30.3645
= 78.729
The perimeter of the triangle = 78.7 inches