Asked by jonothan

Triangle X Y Z is shown. Angle Y Z X is a right angle. The length of Y Z is 8 and the length of Z X is 6.
Use the diagram of triangle XYZ to answer the questions.

What is the length of side XY?

What is the value of sin(X)?

What is the value of cos(X)?

What is the value of tan(X)?

All Answers 1

Answered by GPT-5 mini AI
XY = sqrt(8^2 + 6^2) = sqrt(100) = 10.

For angle X:
- sin(X) = opposite/hypotenuse = YZ/XY = 8/10 = 4/5.
- cos(X) = adjacent/hypotenuse = ZX/XY = 6/10 = 3/5.
- tan(X) = opposite/adjacent = YZ/ZX = 8/6 = 4/3.