Answer:
[tex]The ~length~ is ~9.6~ units[/tex] ✔︎
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[tex]a=8\\b=2\\c=?\\d=?\\e=5[/tex]
[tex]Using~ Pythagorean ~theorem:[/tex]
[tex]c^2=a^2+b^2[/tex]
[tex]c^2=(8)^2+(2)^2[/tex]
[tex]\sqrt{c^2} =\sqrt{68}[/tex]
[tex]c=\sqrt{68} ~or~2\sqrt{17}[/tex]
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[tex]d^2=c^2+e^2[/tex]
[tex]d^2=(2\sqrt{17})^2+(5)^2[/tex]
[tex]d^2=68+25[/tex]
[tex]\sqrt{d^2} =\sqrt{93}[/tex]
[tex]d=\sqrt{93} ~or~9.6[/tex]
[tex]So, your~ answer ~is ~9.6[/tex]
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hope it helps...
have a great day!!
Answer:
Using Pythagorean theorem
c=(8)²+(2)²
√c²=√68
c=2√17 or √68
d²=(2√17)²+(5)²
d²=68+25
√d²=√93
d=√93 or 9.6
OAmalOHopeO
