Question

Use the Pythagorean Theorem to determine if a triangle with side lengths √2 ft., √3 ft., √5ft. is a right triangle.

A:) Yes it is a right triangle
B:) No it is not a right triangle

Answer 1

Answer:

A:) Yes it is a right triangle

Step-by-step explanation:

$~~~~\left(\sqrt{5} \right)^2= \left(\sqrt{2} \right)^2+\left(\sqrt{3} \right)^2\\\\\implies 5=2+3\\\\\implies 5=5$

Answer 2

Answer:

A

Step-by-step explanation:

using the converse of Pythagoras' identity

If the square of the longest side is equal to the sum of the squares on the other 2 sides then the triangle is right.

longest side = $\sqrt{5}$ , and ($\sqrt{5}$ )² = 5

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

Thus the 3 sides form a triangle