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Welcome to our Math lesson on Dividing a Given Ratio, this is the sixth lesson of our suite of math lessons covering the topic of Ratios, you can find links to the other lessons within this tutorial and access additional Math learning resources below this lesson.
Ratios can be used to divide a given quantity into unequal amounts according the numbers of the ratio. We discussed an example of this at the beginning of this ratio tutorial, when an amount of money has to be shared among three sisters according to a given ratio. Now, let's see another example, this time with geometry.
The ratio between the interior angles of a triangle is 2:3:4. Calculate the mass of the greater angle.
From geometry, it is known that the mass of the interior angles in any triangle is 180°. We can denote the angles by a, b and c. Therefore, using the known procedure discussed earlier, we have:
Hence, the mass of each angle is
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