Question

Select all the right triangles, given the lengths of the sides.

Answer 1

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:

$\rm Hypotenuse^2= perpendicular^2+base^2$

Applying in Pythagoras theorem in the triangle A:

$(\sqrt{5})^2= (\sqrt{3})^2 +(\sqrt{2} )^2$

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

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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