A triangle has an area of 1362 cm², and two of the sides of the triangle have lengths 84 cm and 83 cm. Find the angle included by these two sides.

Question

acute angle = °

obtuse angle = °

Answer 1

For triangle with two sides a, b, and included angle C:

area = 1/2 ab sin(c)

for our problem a = 84, b = 83 and C is the included angle we are trying to find:

1352 = 1/2 * 84 * 83 * sin(angle)

angle = 22.83 degrees.