the length of the diagonal of a rectangular play ground is 125m and the length of one side is 75m .The length of other side is
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2
Answer:
CD be the rectangle and AC be the diagonal as shown in the above figure:
It is given that the diagonal AC=125 m and length of AB=75 m
In $$△ABC$$, $$∠B=90^{ 0 }$$
According to the pythagoras theorem
AC
2
=AB
2
+BC
2
⇒125
2
=75
2
+BC
2
⇒15625=5625+BC
2
⇒BC
2
=15625−5625
⇒BC
2
=10000
⇒BC=
10000
⇒BC=
100
2
⇒BC=100
Hence, the length of the diagonal is BC=100 m.
Answered by
3
Let ABCD be the rectangle and AC be the diagonal as shown in the above figure:
It is given that the diagonal AC=125 m and length of AB=75 m
According to the pythagoras theorem
AC 2
=AB
2
+BC
2
⇒125
2
=75
2
+BC
2
⇒15625=5625+BC
2
⇒BC
2
=15625−5625
⇒BC
2
=10000
⇒BC=
10000
⇒BC=
100
2
⇒BC=100
Hence, the length of the diagonal is BC=100 m.
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