Triangles A and triangle E is the right angle triangle, and triangles B, C, and D are not right-angle triangles.
What is a right-angle triangle?
It is defined as a triangle in which one angle is 90 degrees and the other two angles are acute angles. In a right-angled triangle, the name of the sides are hypotenuse, perpendicular, and base.
We know the Pythagoras theorem:
[tex]\rm Hypotenuse^2= perpendicular^2+base^2[/tex]
Applying in Pythagoras theorem in the triangle A:
[tex](\sqrt{5})^2= (\sqrt{3})^2 +(\sqrt{2} )^2[/tex]
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
Similarly for triangle C:
16 + 25 ≠ 36
Not a right-angle triangle
For triangle D:
25 + 25 ≠ 49
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, and triangles B, C, and D are not right-angle triangles.
Learn more about the right angle triangle here:
brainly.com/question/3770177
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