Math, asked by brain4220, 1 year ago

The sides of a triangle are 22cm 20cm and 18 cm find its area

Answers

Answered by MarilynEvans
5

Answer:

 \boxed{\bold{Area = 120 cm}}

Step-by-step explanation:

Given that,

Length of side a = 22 cm

Length of side b = 20 cm

Length of side c = 18 cm

To find,

It's area = ?

By using Heron's formula,

Area =  \sqrt{s(s - a)(s - b)(s - c)}

Where, s =  \frac{a+b+c}{2} (or) semi - perimeter (or) half of the perimeter.

s =  \frac{(22 + 20 + 18)cm}{2}

s =  \frac{60}{2}

s =  \frac{\cancel{60}}{\cancel{2}}

s = 30 cm

By substituting the values of a, b and c,

Area =  \sqrt{s(s - a)(s - b)(s - c)}

Area =  \sqrt{30(30-22)(30-20)(30-18)}

Area =  \sqrt{30(8)(10)(12)}

Area =  \sqrt{2 \times 3 \times 5(2 \times 2 \times 2)(2 \times 5)(2 \times 2 \times 3)}

Area =  2 \times 3 \times 5 \times 2 \times 2

 \boxed{\bold{Area = 120 cm}}

Answered by 1Angel25
0
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