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2 years ago

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

Mathematics

2 answers:

11Alexandr11 [23.1K]2 years ago

8 0

The longer leg is the leg adjacent to the larger angle

so 60

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

Veronika [31]2 years ago

7 0

Answer:

$2\sqrt{3}$ 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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Step-by-step explanation:

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