Question 702088: I'm trying to help my son with his math. Pre-algebra is not my friend! :) Here is the problem.
Use a protractor and a straightedge to draw a triangle that has a right angle and a 30 degree angle. Then measure the shortest and longest sides of the triangle to the nearest millimeter. What is the relationship of the two measurements. What I don't get is the relationship part. What does that mean?
Found 3 solutions by jim_thompson5910, RedemptiveMath, MathLover1:
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! The longest side is the hypotenuse. This is always twice as long as the shortest leg in any 30-60-90 degree triangle.
So that's the relationship they wanted you to discover or stumble upon.
Answer by RedemptiveMath(80) (Show Source):
You can put this solution on YOUR website! I would presume that the relationship they are looking for is the unique fact linking the shortest and longest side together. Usually relationships consist of how many times bigger one thing is to another, or how two things relate in the sense of a ratio (fraction). For example, we know that 4 and 8 have a relationship: One is 2x bigger than the other (8 to 4), or one is 1/2 the amount of the other (4 to 8). The unique fact linking the longest and shortest sides of this triangle will be determined on what their measurements are. I can, however, tell you by experience what the answer most likely be without knowing what your son measured these sides to be.
This triangle we are dealing with is a special kind of triangle. The depth of this special triangle will be explained as your son takes geometry later, but one of the special properties of this kind of triangle is that the longest side is 2x as big as the shortest side. This is the relationship they are looking for. No matter what you son measures the two sides to be, the longest should be twice the size of the shortest.
Answer by MathLover1(20850)  (Show Source):
You can put this solution on YOUR website! Use a protractor and a straightedge to draw a triangle that has a right angle and a 30 degree angle. Then measure the shortest and longest sides of the triangle to the nearest millimeter. What is the relationship of the two measurements.
1.
first draw a line segment and mark one point with C where you will have the vertex of 90° angle, you can use your protractor to draw this line, as the protractor includes a straight edge
2.
align the the guide markings on the protractor so that the line is at the 0-degree mark.
3.
make a mark by the 90° point on the protractor using a pen or pencil
4.
move the protractor so that the straight edge connects the vertex point and the mark you made at 90 degrees, use a straight edge of the protractor and connect the two points
5.
ones you got 90° , use one leg of the angle set a point B (the vertex point of 30° angle)to any convenient width, align the the guide markings on the protractor so that the line is at the 0-degree mark at B
6.
make a mark by the 30° point on the protractor
7.
use a straight edge of the protractor, aline point B and mark of the 30° point and draw a line from B through mark of the 30° point and continue until line intersect leg of the angle of 90° and you will get your right angle triangle
since one angle is 90° and another one is 30° , means that third angle is 60°
so, you will have 30° - 60° - 90° right triangle which and the ratio of this triangle's longest side to its shortest side is "two to one" which means, the longest side is twice as long as the shortest side
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