Question

In APQR, p = 14 inches, q = 37 inches and r=38 inches. Find the area of APQR to the
nearest 10th of an square inch.

Answer 1

The area of the triangle PQR that has a side length of p = 14 inches, q = 37 inches, and r = 38 inches is 257.2 inches².

How to find area of triangle with Heron's formula

area of triangle = √s(s - a)(s - b)(s - c)

where

• s = a + b + c / 2
• a, b, and c are the sides.

Therefore,

s = 14 + 37 + 38  / 2 = 89 / 2 = 44.5

area of triangle = √44.5(44.5 - 14)(44.5 - 37)(44.5 - 38)

area of triangle = √44.5 × 30.5 × 7.5 × 6.5

area of triangle = √66165.9375

area of the triangle = 257.227404255

area of the triangle ≈ 257.2 inches²

learn more on heron's formula here: https://brainly.com/question/22557072