Questions: Find the values of (x) and (y) in each of the following triangles. 1. (x=x quad y=x sqrt2) 2. (x=22.5 quad y=45)

Transcript text: Find the values of $x$ and $y$ in each of the following triangles. 1. \[ x=x \quad y=x \sqrt{2} \] 2. $x=22.5 \quad y=45$

Solution

Solution Steps

Step 1: Identify the type of triangle in Problem 1

The triangle in Problem 1 is a 45°-45°-90° triangle. In such triangles, the legs are congruent, and the hypotenuse is $ \sqrt{2} $ times the length of each leg.

Step 2: Set up the relationship for Problem 1

Given that one leg is $ x $, the other leg is also $ x $, and the hypotenuse is $ x\sqrt{2} $.

Step 3: Solve for $ x $ and $ y $ in Problem 1

Since the hypotenuse is given as $ x\sqrt{2} $, we have: \[ y = x\sqrt{2} \]

Final Answer

For Problem 1: \[ x = x \] \[ y = x\sqrt{2} \]

Was this solution helpful?

Unhelpful

Helpful

Questions asked by other users

< Previous Next >

Thank you for your feedback.

Copied!