The area of the right triangle shown is 30 ft squared. The segment XY has a length of 5 ft. Find the length of the hypotenuse.
![The area of the right triangle shown is 30 ft squared The segment XY has a length of 5 ft Find the length of the hypotenuse class=](https://us-static.z-dn.net/files/dfa/901f099b55602a0f79e5b41f4a007dfd.png)
Answer:
Hypotenuse is 13 ft.
Step-by-step explanation:
A=(1/2)bh
30=(1/2)(5)(h)
30=2.5h
h=12 so ZY = 12ft
Then
[tex]a^{2} +b^{2} =c^{2} \\5^{2} +12^{2} =c^{2} \\25+144=c^{2} \\169=c^{2}\\13=c[/tex]