Question

in the figure find y and z​

Answer 1

Answer:

YO = 5 cm

ZO = 9 cm

Step - By - Step Explanation:

As given in the figure, XO is a perpendicular bisector of YZ

Hence both ΔXOY and ΔXOZ are right angled triangles

In ΔXOY

Perpendicular = 12 cm

Hypotenuse = 13 cm

Base = x cm

P² + B² = H² (Pythagoras Theorem)

12² + x² = 13²

144 + x² = 169

x² = 169 - 144

x² = 25

x² = 5 × 5

x = 5

Hence YO is 5 cm

In ΔXOZ

Perpendicular = 12 cm

Hypotenuse = 15 cm

Base = w cm

P² + B² = H² (Pythagoras Theorem)

12² + w² = 15²

144 + w² = 225

w² = 225 - 144

w² = 81

w² = 9 × 9

w = 9

Hence ZO = 9 cm

Hope it helps