Question

What is the Ratio between KQ and KM? PQRS is a square and K and M are midpoints of PQ and QR respectively.

• A. 1 : $2\sqrt{2}$
• B. 1 : 2
• C. 2 : $\sqrt{2}$
• D. 1 : $\sqrt{2}$

Answer 1

The correct option is D

1 : $\sqrt{2}$

KQ = $\frac{1}{2}$ PQ = $\frac{1}{2}\times 2$ = 1 cm

KM = $\sqrt{K{Q}^2+Q{M}^2}$

= $\sqrt{1^2+1^2}$ = $\sqrt{2}$ cm

$\therefore$ KQ : KM = 1 : $\sqrt{2}$