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

50 POINTS what are the exact measures of the other two sides of the triangle use special-example-1
User Dadou
by
8.6k points

1 Answer

5 votes

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

User Minhaz
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