Q2 of 9 Page 32

In the figure, seg OM ⊥ seg AB and seg AM = 1.5cm Find the length of seg BM and seg AB.

Given: seg 0M ⊥ seg AB

That is ∠OMB = ∠OMA = 90°


seg AM = 1.5cm


Join OA and OB, we get,



Now in ∆OMA and ∆OMB


∠OMB = ∠OMA = 90° (since, seg 0M⊥seg AB )


seg OA = seg OB (since, OA and OB are radius of a circle)


seg OM = seg OM (since, common side)


Therefore, ∆OMA ≅ ∆OMB (By, RHS Congruent Rule)


Therefore, seg AM = seg BM (By CPCT)


Thus, seg AM = seg BM = 1.5cm


seg AB = seg AM + seg BM


seg AB = 1.5 + 1.5 = 3cm


More from this chapter

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3

Look at the figure alongside and write whether the following statements are true or false.


(1) Seg TS is not a chord. ( )


(2) Seg KM is a chord. ( )


(3) Seg CK is a radius. ( )


(4) Seg KM is not a diameter. ( )

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 3

In a circle with centre P, chord AB ≅ chord CD and m∠APB = 40° Find the measure of ∠CPD

 4

The radius of a circle is 5 cm. The distance of a chord from the centre is 4 cm. Find the length of the chord.