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The area of an equilateral triangle is `A=(h^(2))/(sqrt(3))`, where h is the length of the altitude. Write the formula making h as the subject

A

`h=sqrt(3)A`

B

`h=sqrt(sqrt(3)A)`

C

`h=sqrt(sqrt(3)A)`

D

`h=3A^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
(i) apply transposition
(ii) First make `h^(2)` as subject.
(iii) Apply square root on both the sides.
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Knowledge Check

  • The area of an equilateral triangle is A = (h^(2))/(sqrt3) where h is the length of the altitude. Write the formula making h as the subject.

    A
    ` h= sqrt3 A `
    B
    ` h= sqrt(sqrt3A ) `
    C
    ` h = sqrt( sqrt(3A))`
    D
    ` h = 3A^(2)`

  • The area of an equilateral triangle with side 2sqrt3 cm is

    A
    `5.196" "cm^(2)`
    B
    `0.866" "cm^(2)`
    C
    `3.496" "cm^(2)`
    D
    `1.732" "cm^(2)`

  • the area of an equilateral triangle is 4 sqrt(3) cm^(2) Its perimeter is

    A
    `9 cm`
    B
    12 cm
    C
    `12 sqrt(3)` cm
    D
    `6sqrt(3) cm`

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