Question

In XYZ, XP is median of XYZ. XP = 9cm XY + XZ = 290 cm. Find YZ.

a. 17 cm b. 16 cm c. 15 cm d. 14 cm​

Answer 1

Answer:

In △XQP and △XYZ,

∠XQP=∠XYZ=90

∘

∠QXP=∠YXZ (Common angle)

∴△XQP∼△XYZ

XZ

XP

=

XY

XQ

(By properties of similar triangle)

⇒

24cm

4cm

=

16cm

XQ

⇒XQ=

6

16

cm

⇒XQ=

3

8

cm