Name the type of triangle given below:
$△ A B C$ with $∠ B = 90 °$ and $A B = B C$

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Solution

Right Angled Isosceles Triangle.
An Isosceles Right Triangle is a right triangle that consists of two equal length legs. Since the two legs of the right triangle are equal in length, the corresponding angles would also be congruent. Thus, in an isosceles right triangle, two legs and the two acute angles are congruent.

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