When to use triangle ratio's: 1:1:square2 and 1:square3:2

[afvatcha]

I have a question regarding triangles and the measurements. It is my understanding that for an isosceles right triangle and an equilateral 30-60-90 triangle all you need is a measurement from one side of the triangle in order to find the other sides (i.e. 1:1:x square root of 2. or 1: X square root of 3: 2).

[Deleted because this question is from a banned source - see below.]

[mgshorr]

What youre missing is the fact that you DONT know that those ratios are holding for that particular rectangle.


Lets say it is a square. Then it will create an isosceles triangle that fits the ratio. Or if you are given an angle measure you could figure out whether or not the ratio was "in-play"



Try this: Draw a rectangle with Length 10, and Width 2. Then draw the diagonal. Now draw a rectangle with Length 10 and Width 3. In both cases, one angle is obviously 90 degrees, but clearly you don't know the measure of the other two angles, and therefore cannot determine if the ratios are applicable.

[nehag84]

I guess by mistake u wrote the answer as E...it should be C...

[Ben Ku]

Sorry, we cannot address question from the OG on the forums. If you are in one of our classes, please ask OG questions during office hours or before/after class.