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Chapter 3: Q 8. (page 298)

State the law of similar triangles and give an example of a pair of triangles that illustrate this law.

Short Answer

Expert verified

The law of similar triangles states that if two right triangles have the same three angle measures, so that one is just a scaled-up version of the other, then the ratios of side lengths on one triangle are equal to the ratios of corresponding side lengths on the other. Specifically, with the side lengths shown in the diagram at the right, we have

hb=HB,db=DB ,dh=DH

Step by step solution

01

Step 1. Definition of law of similar triangles 

The law of similar triangles states that if two right triangles have the same three angle measures, so that one is just a scaled-up version of the other, then the ratios of side lengths on one triangle are equal to the ratios of corresponding side lengths on the other. Specifically, with the side lengths shown in the diagram at the right, we have

hb=HB,db=DB,dh=DH

02

Step 2. Example with explanation

Let us suppose we have two triangles with first triangle having sides 13,12and 5units and second triangle having sides 52,48and 20units

Therefore, According to law of similar triangles

1352=1248=520

⇒14=14=14[Hence proved]

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Most popular questions from this chapter

Sketch the graph of a function f with the following properties:

f is continuous and defined on R;

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