Answer :
Answer:
16√231 units²
Step-by-step explanation:
Because the triangle is isosceles, we can easily find the height. Splitting the triangle in half gives us a right triangle whose hypotenuse is 10 units, and one of the legs is 5 units.
We can use the Pythagorean Theorem: x² + 5² = 16² -> x² = 231 -> x = √231 (can not be simplified)
Now that we know the height, we can solve for the area. The base is 16, and the height is √231.
That gives us 16*√231 = 16√231 units².
(Heron's formula can be used, but in this situation, doing this takes less time)