In the given figure, a b=5 12 and c d = 1.3 If ASQR is an equilateral triangle, then ZQSR-ZQPR equals
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The donkey met a jackal, and they became good friends. They decided to hunt together, and the fat donkey would break the fence to eat vegetables, while the jackal hunted the farm animals. One night, the donkey told the jackal that he felt like singing. The jackal pleaded with him not to sing, as they would get caught.
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Answer:
ABC is an Equilateral triangle such that,
AB=BC=AC
Construction:
Draw an Altitude AE such that,
E lies on BC and
AE perpendicular to BC
In △AEB
By Pythagoras Theorem,
AB
2
=AE
2
+EB
2
.....(1)
In △AED
By Pythagoras Theorem,
AD
2
=AE
2
+ED
2
.....(2)
From 1) and 2)
AD
2
=ED
2
+AB
2
−EB
2
.....(3)
Since, EB=
2
1
BC=
2
AB
=
6
3AB
and
ED=
6
BC
=
6
AB
∴ AD
2
=
36
AB
2
+AB
2
−
36
9AB
2
∴ 9AD
2
=7AB
2
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