Question

The sides of triangle are 25 cm ,60 cm , and 65 cm respectively. find its area​

Answer 1

Answer:

Ans= 750cm^2

Step-by-step explanation:

S=a+b+c/2

=25+60+65/2

=75

heron's formula= root s(s-a)(s-b)(s-c)

=root 75(75-25)(75-60)(75-65)

=root 75*10*50*15

=root562500

=750  

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Answer 2

Answer:

Hope it helpful.

Step-by-step explanation:

Soluation:-

Let, The semiperimeter of the triangle be 's'

Given that sides of the triangle are 25 cm; 60 cm; 65 cm

Let, a = 25 cm,b= 60 cm,c=65 cm

$s=\frac{(a+b+c)}{2} \\s=\frac{(25+60+65)}{2} \\s=\frac{150}{2}\\s=75$

By Heron's formula,

Area of triangle=

$\sqrt[]{s(s-a)(s-b)(s-c)} \\=\sqrt[]{75(75-25)(75-60)(75-65)} \\=\sqrt[]{75*50*15*10} \\=\sqrt{562500} \\=750$

∴Area of the Triangle is 750 cm².

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