Question

Find the missing side lengths. All answers should be in fully simplified form. a=? b?

Answer 1

Answer: a= $5\sqrt{3}$ b= 5

Step-by-step explanation:

sin 60=a/10

$\frac{\sqrt{3} }{2}$=a/10

$10\frac{\sqrt{3} }{2} =a$

$5\sqrt{3}=a$

cos 60=b/10

.5=b/10

5=b

Answer 2

Answer:

a=8 b=6

Step-by-step explanation:

Using the Pythagorean theorem, a^2+b^2=c^2, and in this case, a^2+b^2=10^2 = 100

so a^2+b^2=100

8^2+6^2=100

64+36=100 ✔

and since A is longer than B, a=8, b=6