Which set of side lengths defines a right triangle?

Mathematics

2 answers:

scoundrel [369]3 years ago

7 0

B. 5,12,13.

5^2=25 12^2=144. 13^2=169

a^2+b^2=c^2.

a=5 b=12 c=13

25+144=169

Snowcat [4.5K]3 years ago

4 0

In a right triangle, the square of the largest side is equal to the sum of the squares of the smaller sides, so if you plug the sides in to that equation, you should get zero if those sides form a right triangle.
B is the only option where this is true, so I believe set B defines a right triangle.

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$\left[\begin{array}{cccc}1&1/2&0&0\\0&1&7/4&0\\0&0&1&-4\end{array}\right]$

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Solution to the system:

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x_2 is a free variable, meaning that it has infinite possibilities and therefore the system has infinite number of solutions.

Step-by-step explanation:

To find the reduced row echelon form of the matrices, let's use the Gaussian-Jordan elimination process, which consists of taking the matrix and performing a series of row operations. For notation, R_i will be the transformed column, and r_i the unchanged one.

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