Question

The area of an equilateral triangle is 1 sq. unit. Then its altitude is​

Answer 1

Answer:

area of triangle = 1/2 *b*h

1 = 1/2 * b *h......................(1)

2=b*h......................(2)

2/b = h

now,put h=2/b in eq.1

1 = 1/2 * b *2/b

2= b²

√2 =  b

now,

area of Δ = 1/2 *b*h

1= 1/2*√2 *h

2/√2 = h

√2 = h   ans

its altitude is​ √2 units

for check:

area of Δ= 1/2 *√2*√2

                 = 1/2 *2

                  =1 units

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