Question

the isosceles triangle has a base that measures 14 units.

the value of y, the length of each leg, must be

equal to 7.
between 7 and 14.
greater than 7.
between 14 and 28.

Explanation:

Identify the given side lengths

The triangle is isosceles with side lengths \(y\), \(y\), and \(14\).

Apply the triangle inequality theorem

Using the Triangle Inequality Theorem knowledge point:

$$
LATEXBLOCK0
$$

Check other inequality conditions

Using the Triangle Inequality Theorem knowledge point:

$$
LATEXBLOCK1
$$

Determine the correct option

The length of each leg \(y\) must be greater than 7.

Answer:

• equal to 7.
• between 7 and 14.
• greater than 7. (Correct answer)
• between 14 and 28.