- View more resources from this publisherSomething in Common
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Triangle multiple
A triangle is split into two parts by drawing a line from one side to the base of the triangle. The ratio in which the sides are split is shown for each of the sides connected by the line. The task is to find what multiple of the smaller triangle is the larger triangle.
The ‘something in common’ between each of the 16 examples is that the multiple is calculated by adding together the two lengths on the side that is not the base.
The reasoning behind this result involves assigning the smallest triangle a unit area and then splitting the triangle into three parts. The triangles are taken in pairs with common heights. The algebra used involves algebraic manipulation of fractions.
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