area of equilateral triangle is 4 root 3 square cm. find the length of the diagonal of the square whose side is equal to the height of the equilateral triangle?
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Here is your answer.....
we know that area of equilateral triangle = root 3 /4 a^2
4root 3 = root 3 /4 a^2
then a^2 = 16
a = 4cm
now we know that the length of diagonal of an equilateral triangle is given by root 3 /2 × a
= root 3 /2 × 4
= 2 root 3 cm is the length of diagonal....
hope this will help you...
if it is helpful then plzz mark it as brainliest...
we know that area of equilateral triangle = root 3 /4 a^2
4root 3 = root 3 /4 a^2
then a^2 = 16
a = 4cm
now we know that the length of diagonal of an equilateral triangle is given by root 3 /2 × a
= root 3 /2 × 4
= 2 root 3 cm is the length of diagonal....
hope this will help you...
if it is helpful then plzz mark it as brainliest...
Answered by
0
Answer:
Step-by-step explanation:
4root 3 = root 3 /4 a^2
then a^2 = 16
a = 4cm
now we know that the length of diagonal of an equilateral triangle is given by root 3 /2 × a
= root 3 /2 × 4
= 2 root 3 cm is the length of diagonal....
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