ABCD is a rhombus in which AC = 16 cm ; BC = 10 cm Find the length of - Maths - Quadrilaterals

Question

ABCD is a rhombus in which AC = 16 cm ;
BC = 10 cm Find the length of the diagonal BD

Priyanka Kedia · Accepted Answer

$G i v e n, l e n g t h o f o n e s i d e (B C) = 10 c m A n d, t h e l e n g t h o f o n e d i a g o n a l A C (d_{1}) = 16 c m L e t l e n g t h o f o t h e r d i a g o n a l B D = d_{2} c m T h e n, S i d e = \frac{1}{2} \sqrt{{d_{1}}^{2} + {d_{2}}^{2}} \Rightarrow 10 = \frac{1}{2} \sqrt{{(16)}^{2} + {d_{2}}^{2}} \Rightarrow 20 = \sqrt{{(16)}^{2} + {d_{2}}^{2}} \Rightarrow 400 = {(16)}^{2} + {d_{2}}^{2} \Rightarrow {d_{2}}^{2} = 400 - 256 \Rightarrow {d_{2}}^{2} = 144 \Rightarrow d_{2} = 12 c m H e n c e, t h e l e n g t h o f o t h e r d i a g o a l B D = 12 c m$

. ABCD is a rhombus in which AC = 16 cm ;BC = 10 cm. Find the length of the diagonal BD

. ABCD is a rhombus in which AC = 16 cm ;
BC = 10 cm. Find the length of the diagonal BD