👤

Answer :

ILikeAntsgo

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]

Go Teaching: Other Questions