Math, asked by Tanushree121, 1 year ago

in the given figure if angle A = 290 degree angle B = 90 degree, OB equals to 4.5 cm equals to 6 cm and AP =
4 cm then find QB

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Answered by srishti1232

hope dis ans helps u ....

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Tanushree121: thanks it is really helpful to me

srishti1232: wlcm dear

DeepikaMV2002: U have told in question that angle A =290° and u have given simply 6 cm soo the correction may be angle A =90° and side OA=6 cm but in answer its correct. Soo please my request is don't do mistake in asking question

Answered by boffeemadrid

Answer:

Step-by-step explanation:

It is given that ∠A=∠B=90° and OB=4.5 cm, AO=6 cm and AP=4cm, then

From ΔAOP and ΔQOB, we have

∠AOP=∠QOB(Vertically opposite angles)

∠A=∠B(Given)

Thus, by AA similarity, ΔAOP≅ΔQOB

Using the similarity condition, we have

$\frac{AO}{BO}=\frac{OP}{OQ}=\frac{AP}{BQ}$

Substituting the given values, we have

$\frac{6}{4.5}=\frac{4}{BQ}$

Upon solving, we get

$BQ=3cm.$

Thus, the value of QB is 3 cm.

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in the given figure if angle A = 290 degree angle B = 90 degree, OB equals to 4.5 cm equals to 6 cm and AP = 4 cm then find QB

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in the given figure if angle A = 290 degree angle B = 90 degree, OB equals to 4.5 cm equals to 6 cm and AP =
4 cm then find QB