Question

if sides of a triangle are 8cm,15cm,17cm.find area

Answer 1

HERE'S YOUR ANSWER...✌️✌️

Semi perimeter
= 8+15+17/2
= 40/2
= 20cm

AREA
= √s(s-s1)(s-s2)(s-s3)
= √ 20 × 12 × 5× 3
= √ 4 × 5 ×4×3×5×3
= 4×5×3
=60 cm ^2 (answer)

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Answer 2

$\huge{\underline{\underline{\red{♡Solution→}}}}$

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$\bold{\huge{\underline{\underline{\rm{ Given :}}}}}$

Sides -

a = 8 cm

b = 15 cm

c = 17 cm

$\bold{\huge{\underline{\underline{\rm{ To\:Find :}}}}}$

Area of Triangle .

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The herons formula to find Area of Triangle is :

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

Where P is half perimeter.

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

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$\purple{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

First find out the value of P.

$p = \frac{8+15+17}{2} \\ p = \frac{40}{2}$

$p = 20$

Now Area is ,

$a = \sqrt{20(20 - 8)(20 - 15)(20 - 17)} \\ a = \sqrt{20 \times 12 \times 5 \times 3}$

$a = \sqrt{3600}$

$\boxed{a = 60}$

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