Let PQRS be a parallelogram whose diagonals PR and QS intersect at O If triangle QRS is an equilater...........

Quantitative Aptitude (CDS) Coordinate Geometry

Let PQRS be a parallelogram whose diagonals PR and QS intersect at O. If triangle QRS is an equilateral triangle having a side of length 10 cm , then what is the length of the diagonal PR?

$5\sqrt{3}\: cm$

$10\sqrt{3}\: cm$

$15\sqrt{3}\: cm$

$20\sqrt{3}\: cm$

छोटे Courses बड़े Results

Master Coordinate Geometry

Prepare through Micro-courses

Try Now

Explanation:

Given parallelogram is a rohombus
So area = Area of rohombus = 2 x area of $\Delta$
1/2d1d2= ( $\sqrt{3}$ / 4 )x 2 x(d1)^{2

=> d2 =d1} $\sqrt{3}$ = 10 $\sqrt{3}$