Question

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

Answer 1

a=8 b=6

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

Answer 2

Answer: a=
`5√(3)` b= 5

Explanation:

sin 60=a/10

`(√(3) )/(2)`=a/10

`10(√(3) )/(2) =a`

`5√(3)=a`

cos 60=b/10

.5=b/10

5=b