Question

. In the figure, find YZ.
Х
15 cm
13 cm
12 cm
Z
Y​

Answer 1

In the right angled triangle YOX, we get

(XY)² = (OY)² + (OX)²

OY² = XY² - OX²

OY² = (13)² - (12)²

OY² = 169 - 144

OY² = 25

OY = 5 cm

Again, in the right angled triangle ZOX, we get

(XZ)² = (OZ)² + (OX)²

OZ² = XZ² - OX²

OZ² = (15)² - (12)²

OZ² = 225 - 144

OZ² = 81

OZ = 9 cm

Now,

YZ = OY + OZ

YZ = 5 + 9

YZ = 14 cm