Math, asked by 123abhidubey25, 17 days ago

let T be an equilateral triangle and let s be square with one side of t as it side. the ratio between the areas of T and S is :
A) 1:3
B) 3:1
C) √3:1
D) 1:√3​

Answers

Answered by skprasad8700593549
0

Answer:

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Answered by itsmuskaan
1

Answer:

\sqrt{3}:4

Step-by-step explanation:

GIVEN

T be an equilateral triangle and S be a square

TO FIND

Ratio between the areas of T and S

FORMULA

Area of equilateral triangle = \frac{\sqrt{3} }{4} a^{2}

Area of square = side × side

SOLUTION

side of equilateral triangle =t

side of square is one side of triangle which means,

side of square = t

area of equilateral triangle : area of square

\frac{\sqrt{3} }{4}a^{2}  : side^{2}\\\\\frac{\sqrt{3} }{4} t^{2} : t^{2}\\\\\frac{\sqrt{3} }{4} :\frac{t^{2} }{t^{2} }\\\frac{\sqrt{3} }{4} : 1\\\sqrt{3}: 4

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