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
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Answer 1

Answer:

XZ = 3.519 m

Step-by-step explanation:

XY = 1.35m

YZ = 3.25m

XZ = ?

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

$XZ^{2} = XY^{2} + YZ^{2}$

$XZ^{2} = (1.35)^{2} + (3.25)^{2}\\XZ^{2} = 1.8225 + 10.5625\\XZ^2 = 12.385\\XZ = \sqrt{12.385} \\XZ = 3.519 m$