Question

ABC is an isosceles triangle with AC = BC. If AB² = 2AC², then find ∠C .​

Answer 1

Step-by-step explanation:

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Answer 2

Given :-

AC = BC

AB² = 2AC²

To Find :-

∠C

Solution :-

AC = BC (given)

By Squaring both sides

AC² = BC² ‎ ‎ ‎‎ ‎ ‎‎ ‎-(1)

AB² = 2AC² (given)

AB² = AC²+AC²

AB² = AC²+BC² {from eq (1)

★ It follows pythagoras theorem

This triangle is a right triangle ∠C = 90°

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