Question

Find the missing lengths. If needed, round the answers to the nearest tenth.

Answer 1

Answer:

The Value of Y is 25.

The Value of Z is 144.

Step-by-step explanation:

Find Value of Y using Phytagorean Theorem

$a^{2} +b^{2} =c^{2}$

Substitute

$60^{2} +b^{2} =65^{2}$

Simplify

3,600 + $b^{2}$ = 4,225

Transpose 3,600 to the other side, since 3,600 is a positive number, it will become negative.

$b^{2}$ = 4,225 - 3,600

Subtract

$b^{2} = 625$

Find the Square root of both sides

b = 25

Find the Value of Z Using Phytagorean Theorem

$a^{2} +b^{2} =c^{2}$

Substitute

$60^{2} +b^{2} =156^{2}$

Simplify

3,600 + $b^{2}$ = 24,336

Transpose 3,600 to the other side, since 3,600 is a positive number, it will become negative.

$b^{2}$ = 24,336 - 3,600

Subtract

$b^{2}$ = 20,736

Find the Square root of both sides

b = 144

Hope this helps!

Answer 2

Answer:

y=25

z=144

Step-by-step explanation:

Use Pythagorean Theorem

y-

$60^{2} +y^{2}=65^2$

$65^2-60^2=y^2$

$4225-3600=y^2$

$625=y^2$

$\sqrt{625}=\sqrt{y^2}$

$25=y$

z-

$60^2-z^2=156^2$

$156^2-60^2=z^2$

$24336-3600=z^2$

$20736=z^2$

$\sqrt{20736}=\sqrt{z}$

$144=z$