An isosceles triangle has sides A, B, and C, such that sides A and B have the same length. Side C has a length of #16 # and the triangle has an area of #40 #. What are the lengths of sides A and B?
Small letters for triangle sides please, dearies.
My favorite formula for the area of a triangle
Lengths of sides A and B
Isosceles Triangle means two sides are equal.
The area of triangle is
The given are base and the area.
first determine the height before finding A and B.
Substitute Area = 40 and Base C = 16
to the formula
divide both side by
to get the
since you have the height
cut into two congruent lengths by the height, since we are dealing with an Isosceles triangle, the entire base measures 16, half of the base measures 8.
Now we have two Right Triangles
using Pythagorean Theorem
64 + 25 =
89 is a prime number