Question

Triangle PQR has sides measuring 9 feet and 10 feet and a perimeter of 24 feet. What is the area of triangle PQR? Round to the nearest square foot.

square feet

Answer 1

the answer is 22 square feet :) hope this helps

Answer 2

22 square foot

Explanation:

Consider PQR be a triangle, such that PQ=9 feet, PR=10 feet.

Now, Perimeter of triangle=24

⇒Sum of all the sides=24

⇒PQ+PR+QR=24

⇒9+10+QR=24

⇒QR=5 feet

Also, s=
`(a+b+c)/(2)=(9+10+5)/(2)=12`

Area of triangle A=
`√(s(s-a)(s-b)(s-c))`

=
`√(12(12-9)(12-10)(12-5))`

=
`√(12(3)(2)(7))`

=
`√(504)`

=
`22.44`

≈
`22sq foot`

thus, area of triangle=22 square foot.