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Flauer [41]
2 years ago
11

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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263.27 m^2

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the half circle at the top has a diameter of 6m. therefore, it’s radius is 3m. if it is cut in half, the part removed from the triangle height is 3m. therefore, the height of the triangle is 35 -15 = 20; 20 - 3 = 17. the height of the triangle is 17. the triangle area formula is a = 1/2(bh).
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Explanation:

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