Question

find the are of of the triangle whose sides are 13cm 14cm and 15cm​

Answer 1

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Answer:

84 cm²

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Given: The sides measure 14 cm, 15 cm and 16 cm.

Perimeter of the triangle = 13+14+15

                                         = 42 cm

To find: The area of the triangle.

Step-by-step explanation:

Perimeter = 2s = 42 cm

Semi-perimeter = s = 21 cm

By Heron's formula,

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

Here,

a=14 cm

b=15 cm                            (Refer to the attachment)

c=13 cm

now, putting the values in the formula:

$Area=\sqrt{21(21-14)(21-15)(21-13)}$

$Area=\sqrt{21*7*6*8}$

$Area=\sqrt{7*7*3*3*2*2*2*2}$

$Area=\sqrt{7^2*3^2*2^2*2^2}$

$Area=7*3*2*2$

$Area=84 cm^2$