Mathematics: The length of the hypotenuse of 30 -60 -90 triangle is 4 find the longer leg

The length of the hypotenuse of 30 -60 -90 triangle - id3060904869393, gatrellesse8407

dpinzoner5952

17.01.2022

The longer leg is the leg adjacent to the larger angle

so 60

length of longer leg = 4 sin60 = 2sqrt(3)

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10040816

17.01.2022

$2\sqrt{3}$ units is the longer leg

Step-by-step explanation:

Definition: 30 -60 -90

In 30-60-90 triangle,

the length of the hypotenuse is twice the length of the shorter leg; and

the length of the longer leg is $\sqrt{3}$ times the length of the shorter leg.

As per the statement:

The length of the hypotenuse of 30 -60 -90 triangle is 4

Length of hypotenuse = 4 units

then, by definition we have;

length of shorter leg = 2 units

then;

the length of the longer leg is $\sqrt{3}$ times the length of the shorter leg.

⇒Length of longer leg = $2\sqrt{3}$ units

Therefore, the length of longer leg is, $2\sqrt{3}$ units

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waltdog

21.04.2021

The fourth option because local means in the part of the graph you can see. And the local minima are -2, 4 and 2, -4

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