Question

1. In ∆XYZ, seg PQ║side XZ and X-P-Y, Y-Q-Z. If XP = 4, PY = 6, QY = 9, then find QZ.
a) 10
b) 16
c) 5
d) 6

Answer 1

Step-by-step explanation:

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