Question

50 POINTS what are the exact measures of the other two sides of the triangle use special right triangles ratios and show your work

Answer 1

The measure of the other two sides are 10 and 10√3

Using Trigonometric concept :

The measure of AB can be calculated thus :

• sine = opposite / Hypotenus

Sin30 = AB / 20

20 × 0.5 = AB

AB = 10 inches

Using Pythagoras rule:

BC = √20² - 10²

BC = √400 - 100

BC = √300

BC = √3 × √100

BC = 10√3