if the height of an equilateral triangle is 6 CM then find the area of a triangle
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1/2×b×h
1/2×b×6
b=1/2×6
b=3
then 1/2×3×6=9
1/2×b×6
b=1/2×6
b=3
then 1/2×3×6=9
Answered by
1
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 】
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 】
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