How do you find a third side of a triangle if there is no angle number and it's not a right tria
Submitted : 20180614 06:05:39 Popularity:
Tags: side find triangle number angle
Without one more measure, we can't find the third side; it will have infinite values.
However we can find the range in which it lies.
Let the given two side
Without one more measure, we can't find the third side; it will have infinite values.
However we can find the range in which it lies.
Let the given two sides of the triangle be a & b units.
Then the 3rd side is in (ab, a+b)
That is c is the measure of 3rd side, then (a  b) < c < (a + b)
If there was an angle, you could use trig, but otherwise, its unsolvable.
You need three pieces of information our of the six between the lengths and the angles in order to solve a triangle. Except for three angles, then you still have an infinite number of similar triangles that it could be.
So if you have two lengths and know it's a right triangle, then you have three pieces (the 90° angle is your third piece of data). Even if it isn't a right angle if it's any known angle you can use that info to solve for the unknown components using laws of sin and/or cosine.
There is an infinite number of solutions
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The question asks: A kite rose vertically 325 feet and then went horizontal 500 feet. How far is the kite from its starting point?
…
This is a rightangled triangle.
Use Pythagoras Theorem:
d² = 325² + 500²
d² = 355625
d = √355625
d = 596.3 ft
━━━━━━
If all you have are are the lengths of 2 sides, you can't. There must be more information.
Well then each angle must be 60 because 60 x 3 = 180 and a triangle must equal 180 degrees total.


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