Name the type of triangle:
$△ X Y Z$ with $∠ Y = 90 °$ and $X Y = Y Z$

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Solution

Given triangle is $△ X Y Z$ with one of the angle $∠ Y = 90 °$ and two sides are equal in length $X Y = Y Z$
Since $∠ Y = 90 °$ is right angle and two side length of triangle are equal $X Y = Y Z$ for an isosceles triangle.
Hence, The triangle $△ X Y Z$ with $∠ Y = 90 °$ and $X Y = Y Z$ is Right angled Isosceles triangle.

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