Question

Which of the following could be the ratio of the length of the longer leg of

30-60-90 triangle to the length of its hypotenusa?
Check all that apply
O A
B. 2: 3.5
C. v5: 2
O D. 12
E 3:2.15
F2: 23
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Answer 1

`√(3)` :2

Step-by-step explanation:

Given : 30-60-90 triangle.

To find : Which of the following could be the ratio of the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse.

Solution : We have given that 30-60-90 triangle.

By the 30-60-90 triangle rule : The hypotenuse is equal to twice the length of the shorter leg,

Let the shortest side is x then hypotenuse is 2x and longer side is x√3.

Then the ratio of the length of the longer leg to the length of its hypotenuse.

Longer side :hypotenuse.

x√3: 2x

√3 : 2.