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Phantasy [73]
3 years ago
14

If the hypotenuse of a 30-60-90 triangle has length 15, then the shorter leg has length

Mathematics
1 answer:
umka2103 [35]3 years ago
3 0

Step-by-step explanation:

Given : If the hypotenuse of a 30-60-90 triangle has length 15 then the shorter leg has length  5.5 , 6.5 , 7.5.

To find : What is the length of the other leg and hypotenuse ?

Solution :

For a  30-60-90 triangle, sides are in the ratio  1:\sqrt{3}:2

where, 1 is the shorter side,  

\sqrt{3} the other side

and 2 the hypotenuse.

Short leg = 5.5

Other leg = 5.5\times \sqrt3=5.5\sqrt3

Hypotenuse = 5.5\times 2=11

Short leg = 6.5

Other leg = 6.5\times \sqrt3=6.5\sqrt3

Hypotenuse = 6.5\times 2=13

Short leg = 7.5

Other leg = 7.5\times \sqrt3=7.5\sqrt3

Hypotenuse = 7.5\times 2=15

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