Can you show me how to do this problem:
Find the missing dimensions of triangle XYZ.
The info it gives me is side X has the number 2, Side Y has the letter m , and Z has the letter n.
What do I do for this?
not without knowing the angles
The other part was triangle ABC. Side A had the number 8, Side B had 10, and Side C has 16.
Lenny -- how do you know what was in Mary's problem?
LOL, talk about trying to confuse me !
If those are corresponding sides in two triangles
and A is 4 times X
then
B is 4 times Y and m = 10/4 = 2.5
and
C is 4 times Z and n = 16/4 = 4
That name game is just part of trying to hopelessly confuse me.
To find the missing dimensions of triangle XYZ, we need to use some basic principles of geometry. In this case, we have been given the lengths of two sides of the triangle, side X with a length of 2, and side Y with a length represented by the variable m. We also have side Z with a length represented by the variable n, which is missing.
To find the missing length of side Z, we need to use one of the following:
1. The Pythagorean Theorem: If triangle XYZ is a right triangle, we can use the Pythagorean theorem to find the missing length. The theorem states that the sum of the squares of the lengths of the two shorter sides of a right triangle is equal to the square of the length of the hypotenuse (the longest side). However, since we do not have any information about the angles or whether it is a right triangle, we cannot assume this method.
2. Triangle Inequality Theorem: According to the Triangle Inequality Theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. If triangle XYZ is a non-degenerate triangle (i.e., not a straight line or a collapsed triangle), we can use this theorem to find the possible range of lengths for the missing side.
To use the Triangle Inequality Theorem, we compare the sum of the lengths of side X and side Y to the length of side Z:
2 + m > n
Furthermore, we compare the sum of the lengths of side X and side Z to the length of side Y:
2 + n > m
By analyzing these two inequalities, you can determine the range of possible values for the lengths of side Y and side Z.
It is important to note that without more specific information about the triangle, we cannot determine the exact values for m and n. The problem only provides relative information about the sides.