Questions: This is a 45-45-90 triangle. What is the measure of x ?

Transcript text: This is a 45-45-90 triangle. What is the measure of $x$ ?

Solution

Solution Steps

Step 1: Identify the type of triangle

The problem states this is a 45-45-90 triangle. This means it's a right isosceles triangle.

Step 2: Recall the 45-45-90 triangle theorem

In a 45-45-90 triangle, the two legs are congruent, and the hypotenuse is $\sqrt{2}$ times the length of a leg.

Step 3: Apply the theorem

Here, the leg has length $\sqrt{14}$. Thus, the hypotenuse $x = \sqrt{14} \times \sqrt{2} = \sqrt{14 \times 2} = \sqrt{28} = \sqrt{4 \times 7} = 2\sqrt{7}$.

Final Answer

$2\sqrt{7}$

Was this solution helpful?

Unhelpful

Helpful

Questions asked by other users

< Previous Next >