Question

An isosceles triangle, with equal sides labeled 10 centimeters. The length of base is labeled 12 centimeters. The altitude drawn on base is labeled h. Find the area of the isoceles triangle. The area is square centimeters.

Answer 1

A = 48 cm²

Explanation:

First, we can find the height by using the Pythagorean Theorem because the altitude →falls perpendicular on the base so it forms a right triangle and →is bisecting the base splitting it in two 6 cm parts.

10 ² = h ² + 6², subtract 6² from both sides

10² -6² = h², square-root both sides

√100 -36 = h , combine like terms

√64 = h

8 = h

Second, find the area of the triangle.

A = B ·h /2 = 12 ·8 /2 = 48 cm²