28.5k views
3 votes
Calculate YZ if WY = 25, XY = 23, and VZ = 35

Calculate YZ if WY = 25, XY = 23, and VZ = 35-example-1
User NMathur
by
5.2k points

2 Answers

4 votes

Answer:


\huge \boxed{13.04}

Explanation:

The triangles are congruent, we can use ratios to solve.

WY/XY = (WY+YZ)/VZ

Let the length of YZ be x.

25/23 = (25+x)/35

Cross multiply.

23(25+x) = 25 × 35

575 + 23x = 875

Subtract 575 from both sides.

575 + 23x - 575 = 875 - 575

23x = 300

Divide both sides by 23.

(23x)/23 = 300/23

x = 13.0434782609...

User Kevin Vasko
by
4.4k points
2 votes

Answer:

WY= 25

XY= 23

VZ=36

so,

WY/XY = YZ/VZ

25/23 = YZ/25 (then do cross multiply)

25×25 = 23 × YZ

625= 23 × YZ

625/23= YZ

27,17= YZ

#i'm indonesian

#hope it helps.

User Yktula
by
5.4k points