Question

The isosceles triangle has a perimeter of 7.5 m. Which equation can be used to find the value of x if the shortest side, y, measures 2.1 m?

Answer 1

An isosceles triangle has 2 sides of the same length and one side that's not the same length.

So it says the shortest side, y, is 2.1m, so that means it's the side that is not the same length as the other two sides.

But the other two sides will be the same length. Let's make those 2 sides x.

The equation would be
x + x + 2.1 = 7.5

And with that you can find x.

Answer 2

Equation used to solve for x is 2x + 2.1 = 7.5

The value equal sides of triangle is 2.7 m

Explanation:

Given: The isosceles triangle has a perimeter of 7.5 m and the shortest side, y, measures 2.1 m.

We have to find the value of x.

Since y is shortest sides and the triangle given is isosceles thus the other two sides must be equal.

So, length of two equal sides is x.

Then equation becomes,

⇒ x + x + y = 7.5

⇒ 2x + y = 7.5

Substitute the values of y = 2.1 , and solve for x, we have

⇒ 2x + 2.1 = 7.5

Subtract 2.1 both side, we get,

⇒ 2x = 7.5 - 2.1

Divide both side by 2, we get,

⇒ x = 2.7

Thus, the value equal sides of triangle is 2.7 m.