5. The Triangle Inequality
Sign In
Consider the properties of equilateral triangles.
x=2
JK=KL=JL=14
In the given figure, we see that the sides of the triangle are congruent.
We know that a triangle with three congruent sides is equilateral. Therefore, the side lengths are equal.
LHS-7x=RHS-7x
LHS+8=RHS+8
.LHS /4.=.RHS /4.
Rearrange equation
Now, we are ready to find the measures of the unknown sides by substituting the value of x. Remember that the triangle is equilateral.
| Side | x=2 | Measure |
|---|---|---|
| JK | 7( 2) | JK=14 |
| KL | 11( 2)-8 | KL=14 |
| JL | 2+12 | JL=14 |