Question 1174905: In a 30-60-90 triangle the longer leg has length of 7 what is the length of the hypotenuse? Found 3 solutions by josgarithmetic, ikleyn, MathTherapy:Answer by josgarithmetic(39613) (Show Source):
You can put this solution on YOUR website! This triangle is half of an equilateral triangle. Based on how you described your triangle, the long leg is 7; the hypotenuse should therefore be 2*7=14.
If the short leg is L, then hypotenuse is 2L.
Solve for ,... 2L.
You can put this solution on YOUR website! .
In a 30-60-90 triangle the longer leg has length of 7 what is the length of the hypotenuse?
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Let x = the length of the short leg
Then the length of the hypotenuse is 2x,
and we have this Pythagorean equation
x^2 + 7^2 = (2x)^2
x^2 + 49 = 4x^2
49 = 3x^2
x^2 =
x = = = = 4.04 (rounded).
The hypotenuse is 2x = = = 8.08 (approximately). ANSWER
Solved, answered and explained. // And completed.
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Ignore post by @josgarithmetic : this person does not know Math
(although claims himself as a tutor).
Claiming himself as a tutor does not mean to be a tutor.
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After seeing my post, he started to copy from there . . .
I agree with Tutor @IKLEYN 100%. Some of the people in this forum are nothing but quasi-tutors, while others feel they know everything but actually know NOTHING at all.
How can this person not know that you can use the longer leg of a 30-60-90 triangle, by multiplying the longer leg by 2 and by to get the length of the hypotenuse, or: ?
Then again, he's one of those who doesn't know much about mathematics!
If one doesn't know that, he/she could also SIMPLY do the following: , with H being the length of the hypotenuse.
It's as SIMPLE as that!!
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