EXAMPLE 1 Identify similar triangles Identify the similar
![EXAMPLE 1 Identify similar triangles Identify the similar triangles in the diagram. SOLUTION Sketch EXAMPLE 1 Identify similar triangles Identify the similar triangles in the diagram. SOLUTION Sketch](https://slidetodoc.com/presentation_image/56f6265d0c58320e84ed6455e793b3a8/image-1.jpg)
![EXAMPLE 2 Find the length of the altitude to the hypotenuse Swimming Pool The EXAMPLE 2 Find the length of the altitude to the hypotenuse Swimming Pool The](https://slidetodoc.com/presentation_image/56f6265d0c58320e84ed6455e793b3a8/image-2.jpg)
![EXAMPLE 2 Find the length of the altitude to the hypotenuse SOLUTION STEP 1 EXAMPLE 2 Find the length of the altitude to the hypotenuse SOLUTION STEP 1](https://slidetodoc.com/presentation_image/56f6265d0c58320e84ed6455e793b3a8/image-3.jpg)
![EXAMPLE 2 Find the length of the altitude to the hypotenuse STEP 2 Find EXAMPLE 2 Find the length of the altitude to the hypotenuse STEP 2 Find](https://slidetodoc.com/presentation_image/56f6265d0c58320e84ed6455e793b3a8/image-4.jpg)
![GUIDED PRACTICE for Examples 1 and 2 Identify the similar triangles. Then find the GUIDED PRACTICE for Examples 1 and 2 Identify the similar triangles. Then find the](https://slidetodoc.com/presentation_image/56f6265d0c58320e84ed6455e793b3a8/image-5.jpg)
![GUIDED PRACTICE for Examples 1 and 2 1. STEP 1 The similar triangle are GUIDED PRACTICE for Examples 1 and 2 1. STEP 1 The similar triangle are](https://slidetodoc.com/presentation_image/56f6265d0c58320e84ed6455e793b3a8/image-6.jpg)
![GUIDED PRACTICE for Examples 1 and 2 Identify the similar triangles. Then find the GUIDED PRACTICE for Examples 1 and 2 Identify the similar triangles. Then find the](https://slidetodoc.com/presentation_image/56f6265d0c58320e84ed6455e793b3a8/image-7.jpg)
![GUIDED PRACTICE for Examples 1 and 2 2. The similar triangle are LMJ ~ GUIDED PRACTICE for Examples 1 and 2 2. The similar triangle are LMJ ~](https://slidetodoc.com/presentation_image/56f6265d0c58320e84ed6455e793b3a8/image-8.jpg)
![GUIDED PRACTICE KM ML = JM JL 5 x = 13 12 13 x GUIDED PRACTICE KM ML = JM JL 5 x = 13 12 13 x](https://slidetodoc.com/presentation_image/56f6265d0c58320e84ed6455e793b3a8/image-9.jpg)
- Slides: 9
![EXAMPLE 1 Identify similar triangles Identify the similar triangles in the diagram SOLUTION Sketch EXAMPLE 1 Identify similar triangles Identify the similar triangles in the diagram. SOLUTION Sketch](https://slidetodoc.com/presentation_image/56f6265d0c58320e84ed6455e793b3a8/image-1.jpg)
EXAMPLE 1 Identify similar triangles Identify the similar triangles in the diagram. SOLUTION Sketch the three similar right triangles so that the corresponding angles and sides have the same orientation. TSU ~ RTU ~ RST
![EXAMPLE 2 Find the length of the altitude to the hypotenuse Swimming Pool The EXAMPLE 2 Find the length of the altitude to the hypotenuse Swimming Pool The](https://slidetodoc.com/presentation_image/56f6265d0c58320e84ed6455e793b3a8/image-2.jpg)
EXAMPLE 2 Find the length of the altitude to the hypotenuse Swimming Pool The diagram below shows a cross-section of a swimming pool. What is the maximum depth of the pool?
![EXAMPLE 2 Find the length of the altitude to the hypotenuse SOLUTION STEP 1 EXAMPLE 2 Find the length of the altitude to the hypotenuse SOLUTION STEP 1](https://slidetodoc.com/presentation_image/56f6265d0c58320e84ed6455e793b3a8/image-3.jpg)
EXAMPLE 2 Find the length of the altitude to the hypotenuse SOLUTION STEP 1 Identify the similar triangles and sketch them. RST ~ RTM ~ TSM
![EXAMPLE 2 Find the length of the altitude to the hypotenuse STEP 2 Find EXAMPLE 2 Find the length of the altitude to the hypotenuse STEP 2 Find](https://slidetodoc.com/presentation_image/56f6265d0c58320e84ed6455e793b3a8/image-4.jpg)
EXAMPLE 2 Find the length of the altitude to the hypotenuse STEP 2 Find the value of h. Use the fact that RST ~ RTM to write a proportion. Corresponding side lengths of TM TR = similar triangles are in proportion. ST SR h 152 = Substitute. 64 165 Cross Products Property 165 h = 64(152) Solve for h. h 59 STEP 3 Read the diagram above. You can see that the maximum depth of the pool is h + 48, which is about 59 + 48 = 107 inches. The maximum depth of the pool is about 107 inches.
![GUIDED PRACTICE for Examples 1 and 2 Identify the similar triangles Then find the GUIDED PRACTICE for Examples 1 and 2 Identify the similar triangles. Then find the](https://slidetodoc.com/presentation_image/56f6265d0c58320e84ed6455e793b3a8/image-5.jpg)
GUIDED PRACTICE for Examples 1 and 2 Identify the similar triangles. Then find the value of x. 1.
![GUIDED PRACTICE for Examples 1 and 2 1 STEP 1 The similar triangle are GUIDED PRACTICE for Examples 1 and 2 1. STEP 1 The similar triangle are](https://slidetodoc.com/presentation_image/56f6265d0c58320e84ed6455e793b3a8/image-6.jpg)
GUIDED PRACTICE for Examples 1 and 2 1. STEP 1 The similar triangle are GHF To find the value of x STEP 2 Use the fact that GH EG = GF EF 3 x = 5 4 5 x = 12 x= EGF ~ 12 5 EGF ~ EHG to write a population Corresponding side length of similar triangle are in proportion Substitute Cross products property Solve for x
![GUIDED PRACTICE for Examples 1 and 2 Identify the similar triangles Then find the GUIDED PRACTICE for Examples 1 and 2 Identify the similar triangles. Then find the](https://slidetodoc.com/presentation_image/56f6265d0c58320e84ed6455e793b3a8/image-7.jpg)
GUIDED PRACTICE for Examples 1 and 2 Identify the similar triangles. Then find the value of x. 2.
![GUIDED PRACTICE for Examples 1 and 2 2 The similar triangle are LMJ GUIDED PRACTICE for Examples 1 and 2 2. The similar triangle are LMJ ~](https://slidetodoc.com/presentation_image/56f6265d0c58320e84ed6455e793b3a8/image-8.jpg)
GUIDED PRACTICE for Examples 1 and 2 2. The similar triangle are LMJ ~ STEP 1 13 LKM L K x J MKJ ~ 12 5 M STEP 2 To find the value of x. use the fact that ~ MKJ to write a peroration LMJ
![GUIDED PRACTICE KM ML JM JL 5 x 13 12 13 x GUIDED PRACTICE KM ML = JM JL 5 x = 13 12 13 x](https://slidetodoc.com/presentation_image/56f6265d0c58320e84ed6455e793b3a8/image-9.jpg)
GUIDED PRACTICE KM ML = JM JL 5 x = 13 12 13 x = (12) (5) for Examples 1 and 2 Corresponding side length of similar triangle are in proportion Substitute Cross products property 13 x = 60 13 Solve for x