In the RST triangle, the angle is S-straight, RS = 10 Find the second leg if: a) angle R = 30 b) angle R = 45 c) Angle R = 60
| February 26, 2021 | education
cos r = RS / RT
Now let’s find the hypotenuse:
cos 30 = 10 / RT
Substitute in the original formula:
RT = 10 * 2 / √ 3 = 20 * √ (3/3)
By the Pythagorean theorem, we find the leg ST:
ST ^ 2 = (20 * √ 3/3) ^ 2 – 10 ^ 2
ST ^ 2 = 1200/9 – 100 = 300/9
ST = √ (100/3)
ST = 10 √ (3/3)
Answer: leg ST = 10 √ (3/3)
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