Q14 of 168 Page 4

The lengths of the diagonals of a rhombus are 24 cm and 10 cm. Find each side of the rhombus.

We have,

ABCD is a rhombus

AC and BD are the diagonals with length 10cm and 24 cm respectively.

We know that rhombus of diagonal bisects each other at 90

∴ AO=OC=5cm and BO=OD=12cm

In AOB

AB²=AO²+BO²

AB²=5²+12²

AB²=25+144

AB²=169

AB=

AB=13 cm

In an isosceles triangle ABC, if AB = AC = 13 cm and the altitude from A on BC is 5 cm, find BC.

In a , AB = BC = CA = 2 a and . Prove that

(i) (ii) Area () =

Each side of a rhombus is 10 cm. If one of its diagonals is 16 cm find the length of the other diagonal.

In an acute-angled triangle, express a median in terms of its sides.