Obj: SWBAT identify Special Right Triangles 45-45-90 and 30-60-90 (G Bucket A: Unit 5 TEI questions hw/hw log/storybook “Right Triangles”/Right Triangles Unit notes day 39 If you wanted the Benchmark 2 to count, put your name and block on a piece of paper and put on my desk. Homework (day 39): p. 503 (1-13o, 15-19o, 23, 24, 25, 26, 27, 28, 34-38) …..always rationalize where applicable Quiz next block (8.1, 8.2) Pearsonsuccess (due Friday)

Right Triangle Notes continued

45 – 45 – 90 triangle Proof: Solve for d * The hypotenuse of a 45–45–90 triangle? √2 times the height of the leg. * The ratio of the sides are x : x : x√2. d x x

In a 45° – 45° – 90° triangle, the length of the hypotenuse is √2 times the length of the leg. Now label each side using n as the unknown. A 45° – 45° – 90° triangle is an isosceles triangle. The legs and the base angles are congruent. n√2 n n

Solve for the variable. 1. 2. y 4. Triangle RST has hypotenuse 8” and ST = RT. Find ST 3. y

30 – 60 – 90 triangle In a 30° - 60° – 90° triangle, the length of the hypotenuse is twice the length of the shorter leg, and the length of the longer leg is √3 times the length of the shorter leg. Now label the diagram using the variable, n, 30° 2n n√3 n

Examples: 4. If DF = 10, then DE = ___ EF = __. 5. If CB =14√3 , then x = ___ y = ___.

Let’s Practice- worksheet (day 40)