In the given figure, angle ACB= 90°, PR=12 cm, AB = 20 cm, if the volume of the prism is 1920 cubic cm. Find the length of the prism:
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Answered by
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Answer:
It is given that
angle ACB=90°= angle ACD
AB=10cm,BC=6cm and AD=17 cm
In the right angled triangle ABC
BC=6cm and AB=10cm
Using Pythagoras Theorem
AB
2
=AC
2
+BC
2
Substituting the values
10
2
=AC
2
+6
2
By further calculation
100=AC
2
+36
AC
2
=100–36=64
AC=√64=√(8×8)
So we get
AC=8cm
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