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| If the tangents of the angles of a triangle are in AP, prove that the squares of
the sides are in |
| the ratio |
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where x is the least or greatest tangent? |
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| The lengthd of the sides of a triangle are three cosecutive natural number and
its largest angle is twice the smallest one. Find the side of the triangle? |
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In a triangle of base a , the ratio of the two sides is r (r < 1). Show that the
altitude of the |
| triangle is less than or eual to |
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| The two adjacent sides of a cyclic quadrilateral are 2 and 5 the angle between
them is |
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| If the area of the quadrilateral is |
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, find the remaining sides? |
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| If a regular polygon of n sides has the circumradius R and inradius r, then prove
that each side |
| of the polygon is eual to |
tan(1(2n))).GIF) |
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| A ladder rests against a wall at an angle |
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the horizontal. Its foot is pulled away from the wall |
| through a distance a, so that it slides a distance b down the wall
making an angle |
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with the |
| horizontal. Show that |
).GIF) |
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