Question

A triangle has sides 35cm, 54cm and 61cm long. Find its area. please answer with full solution
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Answer 1

Step-by-step explanation:

s=35+54+61

$s = 35 + 54+ 61 \div 2 = 150 + \div 2 = 75$

Answer 2

hey mate here is your answer:

by heron's formula:

$\frac{a + b + c}{2} = s$

where ‛s' is semi-perimeter;

Now,

Let's substitue the value of three sides:

$s = \frac{35 + 54 + 61}{2}$

$s = 75$

Therefore,

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

$area = \sqrt{75(75 - 35)(75 - 54)(75 - 61)}$

$a = \sqrt{75 \times 40 \times 21 \times 14}$

$a = \sqrt{882000}$

$a = 940 \: cm {}^{2}$