find the area of isoceles triangle whose equal side is 6cm,6cm and 8cm
Answers
Step-by-step explanation:
Given :
Two equal sides of an isosceles triangle are 6cm each.
Third side of the triangle is 8cm.
To Find :
Area of the isosceles triangle.
Solution :
a = 6cm.
b = 6cm.
c = 8cm.
\longmapsto\tt{s=\dfrac{a+b+c}{2}}⟼s=
2
a+b+c
\longmapsto\tt{s=\dfrac{6+6+8}{2}}⟼s=
2
6+6+8
\longmapsto\tt{s=\cancel\dfrac{20}{2}}⟼s=
2
20
\longmapsto\tt\bold{s=10cm}⟼s=10cm
Now ,
\longmapsto\tt{Area=\sqrt{s(s-a)(s-b)(s-c)}}⟼Area=
s(s−a)(s−b)(s−c)
\longmapsto\tt{\sqrt{10(10-6)(10-6)(10-8)}}⟼
10(10−6)(10−6)(10−8)
\longmapsto\tt{\sqrt{10\times{4}\times{4}\times{2}}}⟼
10×4×4×2
\longmapsto\tt{\sqrt{5\times{2}\times{2}\times{2}\times{2}\times{2}\times{2}}}⟼
5×2
×2×2×2×2×2
\longmapsto\tt{2\times{2}\times{2}\sqrt{5}}⟼2×2×2
5
\longmapsto\tt\bold{8\sqrt{5}{cm}^{2}}⟼8
5
cm
2
So , The Area of the isosceles triangle is 8√5cm²