1. Solving Right Triangles Prepared by: Marifosque, Trisha Anne Collen Magallanes, Mylene

2. A triangle is a 3- sided polygon so metimes (but not very commonly) called the trigon. Every triangle has three sides and three angles, some of which may be the same.

3. Kinds of Triangle according to sides: Equilateral Triangle Three equal sides Three equal angles, always 60° Isosceles Triangle Two equal sides Two equal angles Scalene Triangle No equal sides No equal angles

4. Kinds of Triangle according to Angle: Acute Triangle All angles are less than 90° Right Triangle Has a right angle (90°) Obtuse Triangle Has an angle more than 90°

5. Right Triangles  Every right triangle has one right angle, two acute angles, one hypotenuse and two legs.  The side opposite the right angle being termed the hypotenuse and the other two sides being known as the legs. right angle hypotenuselegs

6. Solving Right Triangles  To solve a right triangle, means to determine the measures of all six (6) parts. You can solve a right triangle if the following one of the two situations exist:  Two side lengths  One side length and one acute angle measure

7. Solving Right Triangles: Pythagorean Theorem  Example 1. Solve the right triangle ABC given that side c = 25 cm and side b = 24 cm.

8.  Example 2. The angle of elevation of an airplane is 45 ​∘​​. If the airplane's altitude is 2500 m, how far away is it? 45 0 2500ft x Solving Right Triangles: 45-45-90 Triangle

9. Solving Right Triangles: 30-60-90 Triangle  Example 3. Solve the right triangle ABC given that the hypotenuse is 14cm.

10. Solving Right Triangles:  Example 4. Given an acute angle and one side. Solve the right triangle ABC if angle A is 36°, and side c is 10 cm.