Question

the area of 2 equilateral triangle is in ratio of 36 64 there sides will be in the ratio​

Answer 1

Answer:

Their altitudes will be in the ratio. ... Let the sides of the equilateral triangle be a and b respectively Then 43 ​​b243 ...

Step-by-step explanation:

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Answer 2

Answer:

Area of an equilateral triangle = $\frac{\sqrt{3} a^{2} }{4}$ (Where 'a' is the length of each equal side)

Let the triangles be A and B and their length of each equal side be x and y,

$\frac{area of triangle A}{area of triangle B}$ = $\frac{\frac{\sqrt{3} x^{2} }{4} }{\frac{\sqrt{3}y^{2} }{4} }$

or,  $\frac{area of triangle A}{area of triangle B}$ = $\frac{x^{2} }{y^{2} }$

or, $\frac{x}{y}$ = $\frac{\sqrt{area of triangle A} }{\sqrt{Area of triangle B} }$ = $\frac{\sqrt{36} }{\sqrt{64} }$ = $\frac{6}{8}$

Ratio of their sides = 3∶4