Area of Non-right Triangles Practice

Answer 1

1. Find the area of a triangle with sides measuring 6 cm, 8 cm, and 10 cm using Heron's formula.

First, calculate the semi-perimeter of the triangle:
s = (6 + 8 + 10) / 2
s = 12 cm

Now, use Heron's formula to calculate the area:
A = √(s(s - 6)(s - 8)(s - 10))
A = √(12(12 - 6)(12 - 8)(12 - 10))
A = √(12*6*4*2)
A = √(576)
A = 24 cm²

Therefore, the area of the triangle is 24 cm².

2. Find the area of a triangle with base measuring 12 cm and height measuring 8 cm.

The formula for the area of a triangle is:
A = 1/2 * base * height
A = 1/2 * 12 * 8
A = 6 * 8
A = 48 cm²

Therefore, the area of the triangle is 48 cm².