113k views
3 votes
In ΔFGH, f = 7.2 cm, g = 1.2 cm and h=6.6 cm. Find the area of ΔFGH to the nearest 10th of a square centimeter.

1 Answer

7 votes

9514 1404 393

Answer:

3.6 cm²

Explanation:

Heron's formula is usually used for calculating triangle area from side lengths.

The semiperimeter is ...

s = (7.2 +1.2 +6.6)/2 = 7.5

Then the area is ...

A = √(s(s -f)(s -g)(s -h)) = √(7.5(0.3)(6.3)(0.9)) = √12.7575

A ≈ 3.57176 cm²

The area of ΔFGH is about 3.6 square centimeters.

In ΔFGH, f = 7.2 cm, g = 1.2 cm and h=6.6 cm. Find the area of ΔFGH to the nearest-example-1
User Aneroid
by
3.8k points