Question

Use Heron's Formula to find the area of AHKP if h' = 24 ft, k = 21 ft, and p = 13 ft. *

(1 Point)

192. 67 sq units

435. 90 sq units

113. 38 sq units

136. 23 sq units

Answer 1

The area of the triangle HKP found by the Heron's Formula is 136.23 sq. ft.

Define the term Heron's Formula?

• This formula is well-known for its straightforward computation that supports the length for three triangle sides.
• If the lengths of the 3 sides are a, b, and c, the semi-perimeter is;        s = (a+b+c)/2.
• Area ; A = √s(s−a)(s−b)(s−c)

The three sides of the triangle are-

h = 24 ft, k = 21 ft, and p = 13 ft.

s = ( 24 + 21 + 13 ) / 2

s = 29

s - a = 29 - 24 = 5

s - b = 29 - 21 = 8

s - c = 29 - 13 = 16

Put in the formula,

Area = √s(s−a)(s−b)(s−c)

A = √ 29 x 5 x 8 x 16

A = 136.23

Thus, the area of the triangle HKP found by the Heron's Formula is 136.23 sq. ft.

To know more about the Heron's Formula, here

https://brainly.com/question/8775419

#SPJ4