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True [87]
3 years ago
15

The length of the hypotenuse of a 30-60-90 triangle is 9. What is the perimeter?

Mathematics
2 answers:
denis23 [38]3 years ago
5 0
The perimeter of any figure, is all its sides summed up

now, notice the picture below, using the 30-60-90 rule, that's "x"

now, get the other sides, since you know what "x" is, and sum them up, that's the perimeter

Ganezh [65]3 years ago
5 0
Hypotenuse = 9
Short leg = 9 / 2 = 4.5
Long leg = (4.5)(square root 3) = 7.8
9 + 4.5 + 7.8 = 21.3
PERIMETER = 21.3
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Ksju [112]
T1 = 3
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3 years ago
What is x?
Nadya [2.5K]

Answer:

Option 3) 24 is right.

Step-by-step explanation:

Given in the picture is a triangle LMN. sides are MN = 12, LN = 21 and LM = x cm

Also MO is the angle bisector of angle M.

By applying angle bisector theorem for triangles we get

LM/MN = LO/NO

i.e. x/12 = 14/7

Simplify to get x = 24

Hence option 3 is right

Verify:

Check whether angle bisector theorem is true.

The proportion LM/MN =24/12 = 2

The proportion LO/NO  =14/7 =2

Both are equal and hence verified

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3 years ago
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3 years ago
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