Question

If the sides of a triangular plot are in the ratio 5: 8: 7 and perimeter 500cm, then find its area

Answer 1

At the start of Tom Jones, we meet Squire Allworthy, a widower living with his unmarried sister Bridget on a fine estate called Paradise Hall in Somerset, in southwestern England.

Answer 2

Answer:

$6250 \sqrt{3}$

Step by Step Explanation:

Perimeter = 500cm

Let sides = 5x, 8x and 7x

5x+8x+7x = 500

20x = 500

x = 25

So, Sides are 125 cm, 200 cm and 175 cm

Semi Perimeter (represented by s) = 500/2 = 250

Area of triangle =

$\sqrt{s(s - a(s - b)(s - c)} \\ = \sqrt{ 250 \times 125 \times 50 \times 75} \\ = 6250 \sqrt{3}$