Question

the perimeter of and iscosilis triangle is 72 cm the base is 6 cm find the height and area of the triangle

Answer 1

Answer:

Height of the Triangle = 32.86 cm.

Answer 2

Lets assume: AB=BC & CA=6cm {as triangle (ABC) is Isosceles triangle}

So Given: AB+BC+CA=72cm

so, AB+BC+6=72

so, AB+BC=72-6=66

so, 2AB=66 {as AB=BC}

so. AB=BC=66/2=33cm

So (Height)^2 = 33^2 - (1/2×6)^2

so, (Height)^2 = 1089-9=1080

so Height = √1080 = 32.86cm   [1st Answer]

We know Area = 1/2×Base×Height

so, Area = 1/2×6×32.86 = 98.58cm^2   [2nd Answer]

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