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Vlad1618 [11]
3 years ago
9

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.

Mathematics
1 answer:
nydimaria [60]3 years ago
3 0

Answer:

118.3 m²

Step-by-step explanation:

Step 1. Calculate the <em>semiperimeter</em> (s).

s = (p + q + r)/2

s = (17 + 18+ 15)/2  

s = 50/2

s = 25 m

===============

Step 2. Calculate the <em>area</em> (A).

Use <em>Heron’s formula</em>:

A = \sqrt{s(s-p)(s-q)(s-r)}

A = \sqrt{25(25-17)(25-18)(25-15)}

A = \sqrt{25\times8\times7\times10}

A = \sqrt{14 000}

A = 20\sqrt{35}

A = 118.3 m²

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