Question

The area of an equilateral triangle is equal to the area of a square with diagonal 20cm the side of the triangle is

Answer 1

Answer:

√200 is the answer for your question

Answer 2

$</p><p></p><p> </p><p>Given height of equilateral triangle = 20 cm</p><p>Area of equilateral triangle with </p><p>height 'h' = </p><p>3</p><p> </p><p> </p><p>h </p><p>2</p><p> </p><p> </p><p> </p><p>∴ Area of equilateral triangle = </p><p>3</p><p> </p><p> </p><p>(20) </p><p>2</p><p> </p><p> </p><p> </p><p>= </p><p>3</p><p> </p><p> </p><p>400</p><p> </p><p> × </p><p>3</p><p> </p><p> </p><p>3</p><p> </p><p> </p><p> </p><p> </p><p>= </p><p>3</p><p>400 </p><p>3</p><p> </p><p> </p><p> </p><p> sq. cm</p><p>Given sides of triangle </p><p>17 cm . 8 cm . 15 cm</p><p>By Pythagorous theorem</p><p>(15) </p><p>2</p><p> +(8) </p><p>2</p><p> =(17) </p><p>2</p><p> </p><p>It is a right angled triangle</p><p>∴ Area of triangle = </p><p>2</p><p>1</p><p> </p><p> ×b×h</p><p>= </p><p>2</p><p>1</p><p> </p><p> ×15×8</p><p>= 60 sq cm$

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