Question

Area of triangle
P =13
Q= 12
R=5​

Answer 1

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In the given figure, sides are given. So, find the area of Triangle

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Areaof Triangle is 30units²

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• Sides of triangle are 13, 5 and 12

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• Area of Triangle

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Heron's Formula,

$\bf \orange{ \sqrt{s(s - a)(s - b)(s - c)} }$

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Let

a = 15 units

b = 5 units

c = 12 units

Semi perimeter(s) =

$\bf \to{ \frac{13 + 5 + 12}{2} }$

$\bf \to \frac{30}{2}$

$\bf \to 15 \: units$

Heron's Formula

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

$\bf \sqrt{15(15 - 13)(15 - 5)(15 - 12)}$

$\bf \sqrt{15 \times 2 \times 10 \times 3}$

$\bf \sqrt{900}$

$\bf30 \: units {}^{2}$

Therefore, Area of triangle is 30 units².

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