Question

Find the area of this triangle. Round to

the nearest tenth.
20 ft
9 ft
1100
15 ft
[? ]ft2
Enter

Answer 1

63.3 square feet

Explanation:

Let a = 20 ft, B = 15 ft, c = 9ft

`s=(a+b+c)/(2)`

`s=(20+15+9)/(2)`

`s=(44)/(2)`

`s=22\: ft`

`Area \: of \:\triangle = √(s(s - a)(s - b)(s - c)) \\ \\ = √(22(22 - 20)(22 - 15)(22 - 9)) \\ \\= √(22 * 2 * 7 * 13) \\ \\= √(44 * 91) \\ \\ = √(4,004) \\ \\ = 63.2771681 \\ \\ \approx 63.3 \: {ft}^(2)`