Question

8. In the figure, M is the centre of the circle. Seg MT 1 seg BC. I(BT)=3, 1(MT) = 4 and seg BT seg TC. Then I (AC) = ? (1) 6 (2) 10 (3) 5 (4) 8​

Answer 1

Step-by-step explanation:

In the adjoining figure, M is the centre of the circle and seg AB is a diameter, seg MS ⊥ chord AD, seg MT ⊥ chord AC, ∠DAB ≅ ∠CAB. i. Prove that: chord AD ≅ chord AC. ii. To solve this problem which theorems will you use? a. The chords which are equidistant from the centre are equal in length. b. Congruent chords of a circle are equidistant from the centre. iii. Which of the following tests of congruence of triangles will be useful? a. SAS b. ASA c. SSS d. AAS e. Hypotenuse-side test. Using appropriate test and theorem write the proof of the above example.Read more on Sarthaks.com - https://www.sarthaks.com/851312/in-the-adjoining-figure-the-centre-the-circle-and-seg-diameter-seg-chord-seg-mt-chord-ac-dab