Answer:
x ≈ 36.2
Step-by-step explanation:
Since the legs are congruent then the triangle is isosceles.
The altitude bisects the base and divides the triangle into 2 right triangles.
Using the right triangle on the right with legs 33 and 15
Apply Pythagoras' identity to the right triangle, that is
x² = 33² + 15² = 1089 + 225 = 1314 ( take the square root of both sides )
x = [tex]\sqrt{1314}[/tex] ≈ 36.2 ( to 1 dec. place )
