L4.5 - Working with Ratios in Right Triangles
Learning Intentions and Success Criteria
We are learning to:
- Justify an estimated angle measure using a table of ratios of side lengths of right triangles (using words and other representations)
- Justify an estimated side length using a table of ratios of side lengths of right triangles (using words and other representations)
- Use a table of ratios of side lengths of right triangles to estimate unknown angle measures
- Use a table of ratios of side lengths of right triangles to estimate unknown side lengths
5.1: Launch Pad
When a rocket is launched, it climbs 50 feet for every 13 feet it travels horizontally. Draw a diagram to represent the situation. Then estimate the rocket’s launch angle.
Estimate the rocket’s launch angle.
5.2: Pythagorean Triples
1. Sketch the triangle with side lengths 7, 24, and 25 units. Label the smallest angle A.
2. Find the 3 ratios of side lengths for angle A.
3. Estimate the acute angles in this triangle.
What do you notice? What do you wonder?
Right Triangle Ratios Table
5.3: Solve All the Triangles
1. What is the length of segment AB?
2. Make a sketch of the description below.
2. In a right triangle with one angle measuring 40 degrees, the leg opposite the 40 degree angle is 5 cm. What is the length of the hypotenuse?
3. What is the length of segment DE?
4. Make a sketch of the description below.
4. In a right triangle with one angle measuring 70 degrees, the leg opposite the 70 degree angle is 12 cm. What is the length of the leg adjacent to the 70 degree angle?
Learning Intentions and Success Criteria
We are learning to:
- Justify an estimated angle measure using a table of ratios of side lengths of right triangles (using words and other representations)
- Justify an estimated side length using a table of ratios of side lengths of right triangles (using words and other representations)
- Use a table of ratios of side lengths of right triangles to estimate unknown angle measures
- Use a table of ratios of side lengths of right triangles to estimate unknown side lengths
