calculate the area of an equilateral triangle whose height is 20 cm

Asked by jishabiju2005 | 30th Mar, 2020, 08:06: AM

Expert Answer:

In triangle ABC
AD is the altitude
we now that altitude in equliateral triangle will bisect the angle
so angle DAC=30
so triangle ADC is 30-60-90 triangle
AD equals fraction numerator square root of 3 over denominator 2 end fraction AC
AC equals fraction numerator 40 over denominator square root of 3 end fraction
Area space of space Equilateral space triangle equals fraction numerator square root of 3 over denominator 4 end fraction cross times side squared equals fraction numerator square root of 3 over denominator 4 end fraction cross times 40 squared over 3 equals 230.94 space cm squared

Answered by Arun | 30th Mar, 2020, 09:31: AM

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