Question

if the height of an equilateral triangle is 6 CM then find the area of a triangle

Answer 1

1/2×b×h
1/2×b×6
b=1/2×6
b=3
then 1/2×3×6=9

Answer 2

Given ,
height of an equivaletral triangle = 6 cm

as we know that ,

height of an equilateral triangle ,

h = √2 a , so now

√2a= 6 cm

a = 6 / √2 = 6 / √2 × √2 /√2

a = 6√2 / 2 = 3 √2

as we know that area of equilateral triangle

= √3 / 4 a^2

= √3 / 4 ( 3√2 ) ^2

= (√3 / 4 ) × 18

= 9 √3 / 2

【 hope it helps 】