Question

The diagram shows triangle ABC. Angle Abc is NOT an obtuse angle. Find the greatest value of x. You must show all your working.

Note:your finial line should say "the greatest value of x is..."
(3 Marks) ​

Answer 1

The largest possible value of x is 15.

Explanation:

Given that the triangle is not obtuse, we know that the widest angle that the three values can add up to is 90 degrees.

We know that that angle is equal to:

30 + 3x + x

so to get a maximum, we can say that it equals 90 degrees and solve for x:

30 + 3x + x = 90

4x = 60

x = 15

So the largest possible value of x is 15.