contestada

Find the UY segment measurement if

bold increment bold italic X bold italic Y bold italic Z bold approximately equal to bold increment bold italic U bold italic Y bold italic W
.
26

20

24

10

Find the UY segment measurement if bold increment bold italic X bold italic Y bold italic Z bold approximately equal to bold increment bold italic U bold italic class=

Respuesta :

Triangle XYZ = UYW

We know that the 2 triangles are similar using angles Theorem

Let us find XZ to determine UY (for confirmation):

To determine XZ, use the Pythagorean Theorem:

[tex]a^{2} + b^{2} = c^{2} \\ OR\\leg^{2} +leg^{2} = Hypotenuse^{2} \\24^{2} + b^{2} = 26^{2} \\576+b^{2} =676\\b^{2} =100\\b=10[/tex]

You can see that XZ = WU

Now find UY= 26

Corresponding angles

Hope it helps!