Question

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

Answer 1

118.3 m²

Explanation:

Step 1. Calculate the semiperimeter (s).

s = (p + q + r)/2

s = (17 + 18+ 15)/2

s = 50/2

s = 25 m

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Step 2. Calculate the area (A).

Use Heron’s formula:

`A = √(s(s-p)(s-q)(s-r))`

`A = √(25(25-17)(25-18)(25-15))`

`A = √(25*8*7*10)`

`A = √(14 000)`

`A = 20√(35)`

A = 118.3 m²