Find the area of a traingle whose sides are 8 cm , 15 cm and 17 cm

1.	Find the area of a traingle whose sides are 8 cm , 15 cm and 17 cm
Answer» $\huge{\bf{\underline{\red{Solution :}}}}$ ⇒Suppose the side a = 8 CM , b = 15 cm and c = 17 cm Now FIND Semi - Perimeter :- $\implies \boxed{\bold{s = \frac{a + b + c}{2}}}$ $\implies \bold{ \frac{8 + 15 + 17}{2}}$ $\implies \bold{\frac{40}{2}}$ $\implies \boxed{\bold{20 \ cm}}$ Now Find Area of TRIANGLE by heron's Formula :- $\implies \boxed{\bold{Area \ of \ Triangle = \sqrt{s(s-a)(s-b)(s-c)}}}$ $\implies \bold{\sqrt{20(20 - 8)(20 - 15)(20 - 17)}}$ $\implies \bold{\sqrt{20 \times 12 \times 5 \times 3}}$ $\implies \bold{\sqrt{100 \times 36}}$ $\implies \boxed{\bold{60 \ cm^{2}}}$ Area of Triangle - 60 cm² $\rule{200}2$ There are three types of Triangle on the basis of sides :- 1) SCALENE Triangle - A triangle in which all three sides are unequal lengths is called Scalene Triangle . 2) Isosceles Triangle - A triangle in which two sides are equal lengths is called Isosceles Triangle . 3) Equilateral Triangle - A triangle in which all three sides are equal in lengths is called Equilateral triangle .

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$\huge{\bf{\underline{\red{Solution :}}}}$