Triangles A and triangle E are the right-angle triangle, but triangles B, C, and D are not right-angle triangles.
What is the right triangle?
A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.
The slanted side of that triangle is called Hypotenuse and it is the longest side in that triangle.
Applying in Pythagoras theorem in the triangle A:
(√5)² = (√2)²+ (√3)²
5 = 5
Triangle A is the right-angle triangle.
For triangle B:
(√5)² = (√4)²+ (√3)²
5 ≠ 7
Triangle B is not the right-angle triangle
For triangle C:
16 + 25 ≠ 36
triangle C is not a right-angle triangle
For triangle D:
25 + 25 ≠ 49
triangle D is not a right-angle triangle
For triangle E:
100 = 36 + 64
It is a right-angle triangle.
Thus, triangles A and triangle E is the right angle triangle.
Learn more about a right angle;
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