Question

QA & PB are perpendicular to AB if AB=16cm, 0Q-5√13 cm
and op- 3√13cm. find AO & BO
​

Answer 1

Answer:

Solution:-

Given QA ⊥ AB and PB ⊥ AB so,

∠ QAO = ∠ PBO = 90° ...... (1)

In Δ AOQ and Δ BOP

∠ QAO = ∠ PBO (from equation 1)

∠ AOQ = ∠ BOP .. (vertically opposite angles)

So,

Δ AOQ is same as Δ BOP .. (by AA rule)

Then we get:

⇒ OAAQ = OBBP

⇒ 20AQ = 1218

⇒ AQ = 20 × 1812

⇒ AQ = 5 × 183

⇒ AQ = 5 × 6 = 30 cm