Suppose the sides of a traingle have the given measures. classify the triangle by its sides. 3a, 3a, 5a

Obtuse isosceles

Step-by-step explanation:

Two sides are the same length, so we know this is an isosceles triangle.

To determine if it's acute, right, or obtuse, we can compare it to a right triangle using Pythagorean Theorem:

c² = a² + b²

c² = 3² + 3²

c² = 18

c = √18

So if this were a right triangle, c would be √18, which is somewhere between 4 and 5.

Since the long side is greater than √18, we know this must be an obtuse triangle.

So this is an obtuse isosceles.

For this case we have that the inverse variation is defined as:

Where:

k: It is the constant of proportionality

According to the statement we have:

We find the constant of proportionality:

Then we find the value of x when :