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Use Similar Right Triangles. Similar Right Triangle Theorem If the altitude is drawn to the hypotenuse of a right triangle, then the two triangles formed.

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Presentation on theme: "Use Similar Right Triangles. Similar Right Triangle Theorem If the altitude is drawn to the hypotenuse of a right triangle, then the two triangles formed."— Presentation transcript:

1 Use Similar Right Triangles

2 Similar Right Triangle Theorem If the altitude is drawn to the hypotenuse of a right triangle, then the two triangles formed are similar to the original right triangle.

3 How do you names the 3 similar triangles? 1. Draw the smallest triangle. îSUT ~ îTUR 2. Draw the middle triangle. 3. Draw the largest triangle. ~ îSTR 4. Match up the angles.

4 Name the similar triangles, then find x. îEHG ~ îGHF ~ îEGF To find x make a ratio of the hypotenuses and the a ratio of 2 proportional legs.

5 Name the similar triangles and find x. îLKM ~ îMKJ ~ îLMJ

6 Find x.

7 Find x

8

9

10 Finding the length of the altitude B CA D 1.Set up a proportion to find BD. 2.Find side AD. 3.Plug values into


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