Solved: "For each of the following, can the measures..."

obojeneqk

Answered question

2022-09-01

For each of the following, can the measures represent sides ofa right triangle? Explain your answers.a. 3 m, 4 m, 5 mb.

\sqrt{2 c m}, \sqrt{3 c m}, \sqrt{5 c m}

Dana Chung

Beginner2022-09-02Added 14 answers

The sides of a right triangle satisfy the Pythagorean Theorem:

a^{2} + b^{2} = c^{2}

, and conversely, if the sides of atriangle satisfy

a^{2} + b^{2} = c^{2}

, then the triangle is a righttriangle.
In your cases:

3^{2} + 4^{2} = ? 5^{2}

does?
Simplifying,9+16=? 25
Check.
This is a right triangle.

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

Simplifying, 2+3=? 25
Check.
This is a right triangle.

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