Question

One side of an isosceles triangle whose perimeter is 42 units measures 10 units. FInd the area of the triangle.

Answer 1

The area of the triangle is 75.99 units squared or approximately 76 units squared.

An Isosceles Triangle is a triangle with two congruent sides and two congruent angles. One side of the triangle measures 10 units, which is the base. The other two sides measures 16 units. The perimeter of the triangle is 10 + 16 + 16 = 42 units.

To get the area of a triangle, we use the formula
$A = \frac{1}{2} bh$

The height or altitude of the triangle can be calculated from Pythagorean theorem, which is equal to $\sqrt{231}$ units.

Substituting values into the formula for the area of a triangle, we get
$A = \frac{1}{2} (10)( \sqrt{231} ) \\ A =75.99 units squared$

The answer can be rounded of into 76 units squared.