Page 2 - Worksheet

P. 2

ABC is an isosceles triangle, rightt-angled at A. If the length of its hypotenuse is 12
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6.A ladder 26m long reaches the window of buillding 10m above the ground,then the
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distance of the foot of the ladder from the building is ___________

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7.ABC is an isosceles triangle right angled at C. Prove that ABB = 2AC .

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8.A man goes 10 m due east and then 24 m due north. Find the ddistance from the starting
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point to the point where he reached..

= 900 . If D is the mid-point of BC, prove that
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AB = 4AD - 3AC .
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10.ABC is an obtuse angled triangle, obtuse angled at B. If AD CB, prove that
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AC = AB + BC + 2BC . BD

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11.In an equilateral triangle ABC, AD is the altitude drawn from A on side BC..
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12.Two poles of heights 6 m and 11 m stand on a plane ground. If the distance between
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their feet is 12 m, find the distance between their tops..
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13. Prove that in a right triangle, if square of one side is equal to the equal to the sum of the
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squares of the other two sides, then the angle opposite to the first side is a rightt angle.
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s q u a r r e s o f f t t h e o t t h e r r t t w o s s i i d e s , , t t h e n t t h e a n g l l e o p p o s i i t t e t t o t t h e f f i i r r s t t s s i i d e i i s a r r i i g h t
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14.Prove that the sum of squares of the sides of a rhombus is equal to sum of the squares of
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its diagonals.
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15.State and prove Pythagoras Theoremm
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