A rectangle has a width of 3 units and a length of 4 units. What is the length of the diagonal?

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asked Oct 10, 2018 225k views

1 Answer

Jkhadka · Answer 1 · 2018-10-15T09:22:43+0000

We have to use the Pythagorean theorem in this case which is

${a}^(2) + {b}^(2) = {c}^(2)$
where c is the hypotenuse. If we plug in the sides

${c}^(2) = {3}^(2) + {4}^(2) \\ {c}^(2) = 9 + 16 \\ {c}^(2) = 25 \\ c = 5$

The length of the diagnal is 5. It's important to notice that this is a 3 4 5 triangle.

A rectangle has a width of 3 units and a length of 4 units. What is the length of the diagonal?

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