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10&10a

7.09 Pythagoras in 3D

Interactive practice questions

All edges of the following cube are $7$7 cm long.

a

Find the exact length of $EG$EG as a surd.

b

Use your answer from part (a) to find the exact length of $AG$AG in simplest surd form.

Easy
3 min

A square prism has sides of length $5$5cm, $5$5cm and $9$9cm as shown.

Easy
3 min

A rectangular prism has dimensions as labelled on the diagram below.

Medium
6 min

Consider the triangular prism below.

Medium
4 min
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Outcomes

ACMMG245

Solve right-angled triangle problems including those involving direction and angles of elevation and depression

ACMMG276 (10a)

Apply Pythagoras’ Theorem and trigonometry to solving three-dimensional problems in right-angled triangles

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