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In the given figure, two chords AB and CD intersect each other at the point P. Prove that:
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1
|
936
|
March 30, 2019
|
|
Prove that the sum of the squares of the diagonals of a parallelogram
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1
|
2351
|
March 30, 2019
|
|
In the given figure, Ad is a median of a triangle ABC and AM ⊥ BC. Prove that
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1
|
439
|
March 30, 2019
|
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In the given figure, ABC is a triangle in which ∠ABC 90° and AD ⊥ CB
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1
|
553
|
March 30, 2019
|
|
In the given figure, ABc is triangle in which ∠ABC > 90° and AD ⊥ CB
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1
|
530
|
March 30, 2019
|
|
In the given figure, D is a point on hypotenuse AC of ∆ABC, DM ⊥ BC,
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1
|
1792
|
March 30, 2019
|
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In the given figure, PS is the bisector of ∠QPR of ∆PQR
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1
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1187
|
March 30, 2019
|
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Tick the correct answer and justify : In ∆ABC, AB = 6\sqrt { 3 } cm,
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1
|
972
|
March 30, 2019
|
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In an equilateral triangle, prove that three times the square
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1
|
2128
|
March 30, 2019
|
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In an equilateral triangle ABC, D is a point on side BC,
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1
|
4175
|
March 30, 2019
|
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The perpendicular from A on side BC of a ∆ABC intersects BC at D such that
|
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1
|
4449
|
March 30, 2019
|
|
D and E are points on the sides CA and CB respectively of a triangle ABC
|
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1
|
1549
|
March 30, 2019
|
|
Two poles of heights 6 m and 11m stand on a plane ground
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1
|
1381
|
March 30, 2019
|
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An airplane leaves an airport and flies due north at a speed of 1000 km per hour
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1
|
956
|
March 30, 2019
|
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A guy wire attached to a vertical pole of height 18 m is 24 m long
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1
|
1666
|
March 30, 2019
|
|
A ladder 10 m long reaches a window 8 m above the ground
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1
|
1488
|
March 30, 2019
|
|
In the given figure, O is a point in the interior of a triangle ABC, OD ⊥ BC, OE ⊥ AC
|
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1
|
2262
|
March 30, 2019
|
|
Prove that the sum of the squares of the sides of a rhombus is equal to the sum
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1
|
1127
|
March 30, 2019
|
|
ABC is an equilateral triangle of side la. Find each of its altitudes
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1
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1131
|
March 30, 2019
|
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ABC is an isosceles triangle with AC = BC. If AB2 = 2AC2, Prove that ABC is a right triangle
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1
|
1360
|
March 30, 2019
|
|
ABC is an isosceles triangle right angled at C. Prove that AB2 = 2AC2
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1
|
2551
|
March 30, 2019
|
|
In the given figure, ABD is a triangle right angled at A and AC i. BD. Show that
|
|
1
|
963
|
March 30, 2019
|
|
PQR is a triangle right angled at P and M is a point on QR such that PM ⊥ QR
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1
|
3869
|
March 30, 2019
|
|
Sides of triangles are given below. Determine which of them are right triangles
|
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1
|
1025
|
March 30, 2019
|
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Tick the correct answer and justify (i) ABC and BDE are two equilateral triangles
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1
|
516
|
March 30, 2019
|
|
Prove that the area of an equilateral triangle described on one side of a square
|
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1
|
1359
|
March 30, 2019
|
|
Prove that the ratio of the areas of two similar triangles is equal
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|
1
|
1627
|
March 30, 2019
|
|
D, E and F are respectively the mid-points of sides AB, BC and CA of ∆ABC
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1
|
1940
|
March 30, 2019
|
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If the areas of two similar triangles are equal, prove that they are congruent
|
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1
|
941
|
March 30, 2019
|
|
In the given figure, ABC and DBC are two triangles on the same base BC
|
|
1
|
1521
|
March 30, 2019
|