Answer:
Altitude of the isosceles triangle = 8
Let equal side be a.
∴ Perimeter of the triangle = 32
2a+b=32
a+
2
b
=16−−−−−(1)
a
2
−
4
b
2
=8
2
(a+
2
b
)(a−
2
b
)=64
16(a−
2
b
)=64
a−
2
b
=4−−−−−−(2)
(1)−(2),⟹b=12
∴ Base of the triangle is = 12
∴ Area of the triangle is =
2
1
(base)(height)=
2
1
(12)(8)=48
Step-by-step explanation:
