Question

In a right angled triangle XYZ,angle Y=90°,XZ=13 cm and XY=12 cm,then find the length of YZ

Answer 1

Answer:

length of YZ is 5cm

Step-by-step explanation:

right angle is present at y so hypotenuse is XZ

● XY^2 + YZ^2 = XZ^2 ( PYTHAGORAS THEOREM)

given XY = 12 cm , XZ = 13cm

(12)^2 + YZ^2 = (13)^2

144 + YZ^2 = 169

YZ^2 = 169- 144

YZ ^2 = 25

YZ = 5 cm

Answer 2

Heya Mate.......

Angle XYZ is a right angle traingle, Y=90°

XZ=13cm

XY=12cm

By pythagoras theorem ;

XZ²=XY²+YZ²

13²=12²+YZ²

169=144+YZ²

169-144=YZ²

25=YZ²

YZ=√25…………(taking square root)

YZ=5cm

Hope it's helped you.......