USING PYTHGORAS THEOREM Q 17 In △ABC, AB = AC = x, BC = 10 cm and the - Maths - Congruency of Triangles

Question

USING PYTHGORAS THEOREM
Q 17 In △ ABC, AB = AC = x, BC = 10 cm and the area of
△ ABC is 60 c m 2 Find x

Varun Rawat · Accepted Answer

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Let AD⊥BC
In ∆ADB and ∆ADC∠ADB = ∠ADC  90° each       AB = AC         Given       AD = AD         Common⇒∆ADB ~ ∆ADC  RHS⇒BD = DC  CPCTSo, BD = DC = 5 cmNow, area of ∆ABC = 60 cm2⇒12×BC×AD = 60⇒12×10×AD=60⇒AD = 12 cmIn ∆ADC,AC2 = AD2 + DC2   Pythagoras theorem⇒x2 = 122 + 52⇒x2 = 144 + 25⇒x2 = 169⇒x = 13

USING PYTHGORAS THEOREM. Q.17. In △ ABC, AB = AC = x, BC = 10 cm and the area of △ ABC is 60 c m 2 . Find x.

USING PYTHGORAS THEOREM.
Q.17. In $△$ ABC, AB = AC = x, BC = 10 cm and the area of $△$ ABC is 60 $c m^{2}$ . Find x.