ABC is an isosceles triangle with AC = BC. If AB2 = 2AC2, prove that ABC is a right triangle
It is given that AC = BC and AB2 = 2 AC2
⇒ AB2 = AC2 + AC2
⇒ AB2 = AC2 + BC2 [Since AC = BC]
As the above equation satisfies Pythagoras theorem, we can say that
⇒ ∠ACB = 90°
Therefore, ΔABC is a right triangle.
ABC is an isosceles triangle with AC = BC. If AB² = 2AC², prove that ABC is a right triangle
NCERT Class 10 Maths Solutions Chapter 6 Exercise 6.5 Question 5
If ABC is an isosceles triangle with AC = BC and if AB2 = 2AC2, it is proved that ABC is a right triangle.
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