My Learning Cart
?
Categories
Account

In triangle XYZ, if angle X = 90 degrees, angle Y = 45 degrees, and side XY = 10

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: In triangle XYZ, if angle X = 90 degrees, angle Y = 45 degrees, and side XY = 10 units, what is the length of side XZ?

Options:

  1. 10√2 units
  2. 5√2 units
  3. 10 units
  4. 5 units

Correct Answer: 10√2 units

Solution: 

In a 45-45-90 triangle, the sides opposite the 45-degree angles are equal, and the hypotenuse is √2 times the length of each leg. Thus, XZ = XY√2 = 10√2 units.

In triangle XYZ, if angle X = 90 degrees, angle Y = 45 degrees, and side XY = 10

Practice Questions

Q1
In triangle XYZ, if angle X = 90 degrees, angle Y = 45 degrees, and side XY = 10 units, what is the length of side XZ?
  1. 10√2 units
  2. 5√2 units
  3. 10 units
  4. 5 units

Questions & Step-by-Step Solutions

In triangle XYZ, if angle X = 90 degrees, angle Y = 45 degrees, and side XY = 10 units, what is the length of side XZ?
  • 45-45-90 Triangle Properties – In a 45-45-90 triangle, the lengths of the legs are equal, and the hypotenuse is √2 times the length of each leg.
  • Right Triangle Basics – Understanding the properties of right triangles, including the Pythagorean theorem and angle relationships.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks