Question

In triangle LMN, ZL = 90°, LD 1MN such that M-D-N. If LM = 6cm and MN = 9cm, then MD=​

Answer 1

Step-by-step explanation:

Consider △LMN

MR perpendicular to LN and LM perpendicular to LN

∴ By property of geometric mean, MR

2

=LR.RN....(i)

Similarly in △LKN,

KR perpendicular to LN and LK perpendicular to KN

⇒KR

2

=LR.RN....(ii)

∴ From (i) and (ii)

MR

2

=KR

2

⇒MR=KR

∴R is the midpoint of segment MK