Sides of a triangle are of the ratio 2:3:4. If the perimeter of the triangle is 90 cm, what is the area of the triangle?

Answers

Answer 1

Answer:

this might help you....

Sides Of A Triangle Are Of The Ratio 2:3:4. If The Perimeter Of The Triangle Is 90 Cm, What Is The Area
Answer 2

The area of a triangle with ratio of 2:3:4 and a perimeter of 90 centimeter is 290. 47 centimetre squared.

What is perimeter of a triangle?

The perimeter of a triangle is the sum of the whole sides of the triangle.

Therefore, the perimeter is given as follows:

perimeter = 90 cm

Hence, the sides can found as follows:

2 / 9 × 90 = 20 cm

3 / 9 × 90 = 30 cm

4 / 9 × 90 = 40 cm

Area = √s(s-a)(s-b)(s-c)

where

a, b and c are the sidess = semi perimeter

Hence,

s = 90 / 2 = 45

a = 20 cm

b = 30 cm

c = 40 cm

Therefore,

area of the triangle = √45(45 - 20)(45 - 30)(45 - 40)

area of the triangle =√45(25)(15)(5)

area of the triangle = √84375

area of the triangle = 290.473750966

area of the triangle = 290. 47 cm²

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