Question

XYZ is a right-angled triangle.

Х
Diagram NOT
accurately drawn
1.35 m
Y
3.25 m
Z
Calculate the length of XZ.
Give your answer correct to 3 significant figures.
(3 marks)
OXZ =
m
Submit Answer
Skip for Now
pleasee fast

Answer 1

XZ = 3.519 m

Explanation:

XY = 1.35m

YZ = 3.25m

XZ = ?

As the given triangle is right angled, pythagoras theorem can be used.

`XZ^(2) = XY^(2) + YZ^(2)`

`XZ^(2) = (1.35)^(2) + (3.25)^(2)\\XZ^(2) = 1.8225 + 10.5625\\XZ^2 = 12.385\\XZ = √(12.385) \\XZ = 3.519 m`