ABC is a right angled triangle, where angle B=90° and AB=7cm. the triangle is rotated about AB. the volume of the right cone so formed is found to be 4224 cm^3 . find the other sides of the triangle.
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Answer:
AB=AC [Given ]
∠A=90
o
∴ ∠C=∠B [ Angles opposite to equal sides are equal ] ---- ( 1 )
In △ABC,
∠A+∠B+∠C=180
o
[ Angles sum property of triangles ]
⇒ 90
o
+∠B+∠C=180
o
⇒ 90
o
+∠B+∠B=180
o
[ From ( 1 ) ]
⇒ 2∠B=90
o
⇒ ∠B=45
o
∴ ∠B=∠C=45
o
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