Mathematics
09.04.2020 00:41
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If the hypotenuse of a 45-45-90 triangle is 13, what is the length of the legs?

If the hypotenuse of a 45-45-90 triangle is 13, what is the length of the legs?
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asher456581
asher456581
4,7(22 marks)

In a 45-45-90 triangle, the length of the hypotenuse is \sqrt{2} times the length of leg.

As per the statement:

If the hypotenuse of a 45-45-90 triangle is 13 units.

To find the length of the legs.

Using above definition:

\text{Length of Hypotenuse} = \sqrt{2} \times \text{Length of the leg}

Substitute the given values we have;

13 = \sqrt{2}  \times \text{Length of the legs}

Divide both sides by \sqrt{2}  we have;

\text{Length of the legs} =<img src=" alt="\frac{13}{\sqrt{2}} = \frac{13\sqrt{2}}{2}" />" /> units

Therefore, the length of the legs is \frac{13\sqrt{2}}{2}[/tex] units

thruhdyjgrt
thruhdyjgrt
4,5(79 marks)

5/12

Step-by-step explanation:

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