Question

Which of the following size measures will form a right triangle

Answer 1

From the given side lengths, let's find the measures that will form a right triangle.

Apply Pythagorean Theorem:

`a^2+b^2=c^2`

Where:

• a ,and ,b, are lengths of the legs

,

• c is the length of the hypotenuse.

Now, let's start from the first measures in option a.

• 48m, 64m, and 85m

`\begin{gathered} 48^2+64^2=85^2 \\ \\ 2304+4096=7225 \\ \\ 6400\\e7225 \end{gathered}`

The measures in option a will NOT form a right triangle since the left side of the equation does not equal the right side.

• 27 yd, 36 yd, 45 yd

`\begin{gathered} 27^2+36^2=45^2 \\ \\ 729+1296=2025 \\ \\ 2025=2025 \end{gathered}`

The measures in option B will form a right triangle because the Equation is true.

ANSWE