Question

Use the picture shown inequalities in a two triangle. Enter a range of values for X

Answer 1

GIVEN

Two isosceles triangles with two equal pairs of sides are drawn.

SOLUTION

The two triangles have similar sides. The remaining pair of sides are 27 and 26 units respectively.

Note that the angle that subtends the longer side should be greater than the angle that subtends the smaller side. Therefore:

`3x-9<93`

Solving the inequality:

`x<34\:`

The smaller angle must be greater than 0. This means that:

`3x-9>0`

Solving the inequality:

`x>3`

Combining both inequalities:

[tex]3ANSWER[tex]3