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Question P5 Area and volume foundations

matching base and height

In the shown triangle, the base is 12 cm and a 7 cm segment meets it at a right angle. Identify the base and its corresponding height.

The 7 cm height is perpendicular to its matching 12 cm base. Drawing is not to scale.12 cm7 cm
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Answer

Base 12 cm and height 7 cm

About this method

Area and volume foundations

Choose the matching base and perpendicular height, or count equal cube layers before multiplying dimensions.

In this one. A triangle height must be perpendicular to the chosen base. A sloping side is not automatically the height.

Build from one layertrianglebase x perpendicular height / 2cuboidbase layer x number of layers

How to spot it

Look for shapes drawn on a dotted or squared grid, sharing a side or a vertex, with names like ABCD and ABE. Words like "grid", "dots" or "squares" alongside a request to compare areas or heights are the giveaway.

Common mistake

Children measure height by eye along the slanted side of a shape instead of counting the straight up-down grid distance from the base to the opposite vertex, which gives the wrong height whenever a side leans.

Practise a similar question

Standard A triangle has base 8 cm and perpendicular height 5 cm. Find its area.
All 18 with this pattern →
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