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Sagot :
Answer:
The Value of Y is 25.
The Value of Z is 144.
Step-by-step explanation:
Find Value of Y using Phytagorean Theorem
[tex]a^{2} +b^{2} =c^{2}[/tex]
Substitute
[tex]60^{2} +b^{2} =65^{2}[/tex]
Simplify
3,600 + [tex]b^{2}[/tex] = 4,225
Transpose 3,600 to the other side, since 3,600 is a positive number, it will become negative.
[tex]b^{2}[/tex] = 4,225 - 3,600
Subtract
[tex]b^{2} = 625[/tex]
Find the Square root of both sides
b = 25
Find the Value of Z Using Phytagorean Theorem
[tex]a^{2} +b^{2} =c^{2}[/tex]
Substitute
[tex]60^{2} +b^{2} =156^{2}[/tex]
Simplify
3,600 + [tex]b^{2}[/tex] = 24,336
Transpose 3,600 to the other side, since 3,600 is a positive number, it will become negative.
[tex]b^{2}[/tex] = 24,336 - 3,600
Subtract
[tex]b^{2}[/tex] = 20,736
Find the Square root of both sides
b = 144
Hope this helps!
Answer:
y=25
z=144
Step-by-step explanation:
Use Pythagorean Theorem
y-
[tex]60^{2} +y^{2}=65^2[/tex]
[tex]65^2-60^2=y^2[/tex]
[tex]4225-3600=y^2[/tex]
[tex]625=y^2[/tex]
[tex]\sqrt{625}=\sqrt{y^2}[/tex]
[tex]25=y[/tex]
z-
[tex]60^2-z^2=156^2[/tex]
[tex]156^2-60^2=z^2[/tex]
[tex]24336-3600=z^2[/tex]
[tex]20736=z^2[/tex]
[tex]\sqrt{20736}=\sqrt{z}[/tex]
[tex]144=z[/tex]
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