Tamil Nadu Board of Secondary EducationSSLC (English Medium) (5 to 8) Class 8

In triangle ABC, line I, is a perpendicular bisector of BC.If BC = 12 cm, SM = 8 cm, find CS - Mathematics

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Sum

In triangle ABC, line I, is a perpendicular bisector of BC.
If BC = 12 cm, SM = 8 cm, find CS

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Solution

Given l1, is the perpendicular bisector of BC.

∴ ∠SMC = 90°and BM = MC

BC = 12 cm

⇒ BM + MC = 12 cm

MC + MC = 12 cm

2MC = 12

MC = `12/2`

MC = 6 cm

Given SM = 8 cm

By Pythagoras theorem SC2 = SM2 + MC2

SC2 = 82 + 62

SC2 = 64 + 36

CS2 = 100

CS2 = 102

CS = 10 cm

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Chapter 5: Geometry - Exercise 5.2 [Page 178]

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Tamil Nadu Board Samacheer Kalvi Class 8th Mathematics Answers Guide
Chapter 5 Geometry
Exercise 5.2 | Q 7 | Page 178

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