10. The lengths of the diagonals of a rhombus are 16 cm and 12 cm respectively.
Find the length of each of its sides.
11. In the given figure ABCD is a square. Find the measure of CAD.
Hint. DA - DC LACD = DAC = x (say)
Then, x++90°=180° Find x.
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10)in rhombus ABCD,
AC and BD meet at o
AC=16cm,AO=16/2=8cm
BD=12cm,BO=12/2=6cm
in triangle, AOB,
angle AOB=90°
AO²+BO²=AB²
8²+6²=64+36=100=AB²
AB=10cm
therefore, AB=BC=CD=AD=10cm
11)In square ABCD,
angle ACD=angle DAC=x
angle ACD+angle DAC+ angle ADC=180°
x+x+90°=180°
2x=180°-90°=90°
x=90°/2=45°
angle CAD=45°
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