Question

PLEASE HELP NEEDS TO BE DONE IN 10 MINUTES!!!

Answer 1

QR = 15 cm

PQ = 20 cm

Explanation:

Use the Pythagorean theorem.
`a^(2) +b^(2) =c^(2)`

Find QR first since you know QP are SR.

`a^(2) +b^(2) =c^(2)\\12^(2) +9^(2) =c^(2)\\144+81=c^2 \\225=c^2\\√(225) = √(c^2) \\c = 15`

QR = 15 cm

Now you can find PQ. First find the length of PR by adding PS and SR together.

16 + 9 = 25

`a^(2) +b^(2) =c^(2)\\a^(2) +15^(2) =25^(2)\\a^(2) +225 =625\\a^(2) +225-225 =625-225\\\a^(2) = 400\\√(a^2) =√(400) \\a = 20`

PQ = 20 cm