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  • 01-06-2021
  • Mathematics
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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=

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2zt745 2zt745
  • 03-06-2021

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]

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