The sum of the lengths of the sides of triangle ABC is 38in. The length of sides AB and BC are 14 inches and 11 inches. Find the length of side AC and classify the triangle.
You have to be kidding...
You are given the total perimeter, and two sides. Find the third side.
Thanks I didn't notice it was that easy
To find the length of side AC, we need to subtract the lengths of sides AB and BC from the sum of the lengths of all three sides.
Let's call the length of side AC as x.
The sum of the lengths of the sides is given as 38 inches, so we can set up an equation:
AB + BC + AC = 38
Substituting the given lengths, we have:
14 + 11 + x = 38
Combining like terms:
25 + x = 38
Now, let's isolate x by moving 25 to the other side:
x = 38 - 25
x = 13
Therefore, the length of side AC is 13 inches.
To classify the triangle, we can use the lengths of its sides.
Based on the given lengths, we have AB = 14 inches, BC = 11 inches, and AC = 13 inches.
Since no two sides have equal lengths, the triangle is a scalene triangle.