SOLUTION: PQR is a triangle, given that /PQ/=15m, /QR/=17m and /RP/=18m. Find the area of the triangle to the nearest whole number.

Algebra ->  Triangles -> SOLUTION: PQR is a triangle, given that /PQ/=15m, /QR/=17m and /RP/=18m. Find the area of the triangle to the nearest whole number.      Log On


   

Question 1133263: PQR is a triangle, given that /PQ/=15m, /QR/=17m and /RP/=18m. Find the area of the triangle to the nearest whole number.
Found 2 solutions by ikleyn, Edwin McCravy:
Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.

Use the Heron's formula.

On Heron's formula, see the lessons
    - Proof of the Heron's formula for the area of a triangle
    - One more proof of the Heron's formula for the area of a triangle
in this site.


Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
Use Heron's formula:

First calculate 

s=semiperimeter=%28PQ%2BQR%2BRP%29%2F2

Then use area formula:

area=sqrt%28s%28s-PQ%29%28s-QR%29%28s-RP%29%29%2F2

Area = 118.3215957 m2

You can go here:

https://www.mathwarehouse.com/geometry/triangles/area/herons-formula-triangle-area.php

Edwin