Question

in the figure 10.23 ABC is a triangle and AD is a altitude so that_1. BP|| AD 2. CQ||AD 3. BP||CQ​

Answer 1

Question given:

3. In the figure 10.23, ABC is a triangle and AD is an altitude.

Show that—

1. BP || AD

2.CQ || AD

3.BP || CQ

Solution:

Given:-

i)∠ABP=∠DAB=40°

But they are alternate angles.

And alternate angles are equal ,thus the lines are parallel.

So, BP || AD

ii)∠C =∠D

∠C = 90°(given)

AD ⊥ BC

So, ∠D =90°

And, ∠ D= ∠C

Thus, the lines AD || CQ as ∠ D&∠C are alternate.

iii) As BP || AD and AD || CQ

Therefore,we can say that BP || CQ.

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Hope it's helpful ^_^