Question

find the area if triangle in which whose side 8cm 10cm 12cm.

Answer 1

ANSWER:---------

given sides of the triangle :-

a = 8cm

b = 10cm

c = 12cm

the formula for finding the area of a triangle is 1/2 × b × h. but no height is given. only sides are given so we'll use heron's formula.

for that, first we need to find the semi-perimeter of the triangle. also denoted as 's'

s = (8 + 10 + 12)/2

= 30/2

= 15cm

area of the triangle by heron's formula :-

$\rm = \sqrt{s(s - a)(s - b)(s - c)} \\ \\ \rm = \sqrt{15(15 - 8)(15 - 10)(15 - 12)} \\ \\ \rm = \sqrt{15 \times 7 \times 5 \times 3} \\ \\ \rm = \sqrt{3 \times 5 \times 7 \times 5 \times 3} \\ \\ = \sqrt{ \underline{3 \times 3} \times \underline{5 \times 5} \times 7} \\ \\ \rm = 3 \times 5 \sqrt{7} \\ \\ \rm = 15 \sqrt{7} \: {cm}^{2}$

Answer 2

Step-by-step explanation:

15 is the answer

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