The areas of two similar triangles ABC and DEF are respectively 100cm square and 49cm square. If the altitude of triangle ABC is 5cm, find the corresponding altitude of triangle DEF.
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The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding altitudes.
The area of two similar triangle are 100cm
2
and 49cm
2
respectively.
The altitude of the bigger triangle is 5cm
Let the altitude of the smaller triangle be x.
Therefore
49
100
=
x
5
7
10
=
x
5
x=3.5cm
The altitude of the smaller triangle is 3.5cm.
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Answer:
- Atomicity is defined as the total number of atoms present in a molecule. For example, each molecule of oxygen is composed of two oxygen atoms. So atomicity of oxygen is 2.In older contexts, the term atomicity is sometimes used in the same sense as valency.
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