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Priya123
@priya123
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Joined: May 7, 2021
Last seen: Jul 27, 2023
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Topics: 2064 / Replies: 139
AllTopicsReplies
Topic
Prove that the sum of the squares of the sides of rhombus is equal to the sum of the squares of its diagonals.
4 years ago
Forum
Triangles
Replies: 0
Views: 472
Topic
ABC is an equilateral triangle of side 2a. Find each of its altitudes.
4 years ago
Forum
Triangles
Replies: 0
Views: 110
Topic
ABC is an isosceles triangle with AC = BC. If AB^2 = 2AC^2, prove that ABC is a right triangle.
4 years ago
Forum
Triangles
Replies: 0
Views: 467
Topic
ABC is an isosceles triangle right angled at C. Prove that AB^2 = 2AC^2.
4 years ago
Forum
Triangles
Replies: 0
Views: 106
Topic
In Figure, ABD is a triangle right angled at A and AC ⊥ BD. Show that
4 years ago
Forum
Triangles
Replies: 0
Views: 182
Topic
PQR is a triangle right angled at P and M is a point on QR such that PM ⊥ QR. Show that PM2 = QM × MR.
4 years ago
Forum
Triangles
Replies: 0
Views: 155
Topic
Sides of triangles are given below. Determine which of them are right triangles? In case of a right triangle, write the length of its hypotenuse.
4 years ago
Forum
Triangles
Replies: 0
Views: 136
Topic
Sides of two similar triangles are in the ratio 4 : 9. Areas of these triangles are in the ratio (A) 2 : 3 (B) 4 : 9 (C) 81 : 16 (D) 16 : 81
4 years ago
Forum
Triangles
Replies: 0
Views: 108
Topic
ABC and BDE are two equilateral triangles such that D is the mid-point of BC. Ratio of the area of triangles ABC and BDE is
4 years ago
Forum
Triangles
Replies: 0
Views: 144
Topic
Prove that the area of an equilateral triangle described on one side of a square is equal to half the area of the equilateral triangle described on one of its diagonals.
4 years ago
Forum
Triangles
Replies: 0
Views: 106
Topic
Prove that the ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding medians.
4 years ago
Forum
Triangles
Replies: 0
Views: 106
Topic
D, E and F are respectively the mid-points of sides AB, BC and CA of ΔABC. Find the ratio of the area of ΔDEF and ΔABC.
4 years ago
Forum
Triangles
Replies: 0
Views: 119
Topic
If the areas of two similar triangles are equal, prove that they are congruent.
4 years ago
Forum
Triangles
Replies: 0
Views: 109
Topic
In the figure, ABC and DBC are two triangles on the same base BC. If AD intersects BC at O, show that area (ΔABC)/area (ΔDBC) = AO/DO.
4 years ago
Forum
Triangles
Replies: 0
Views: 155
Topic
Diagonals of a trapezium ABCD with AB || DC intersect each other at the point O. If AB = 2CD, find the ratio of the areas of triangles AOB and COD.
4 years ago
Forum
Triangles
Replies: 0
Views: 132
Topic
Let ΔABC ~ ΔDEF and their areas be, respectively, 64 cm^2 and 121 cm^2. If EF = 15.4 cm, find BC.
4 years ago
Forum
Triangles
Replies: 0
Views: 142
Topic
If AD and PM are medians of triangles ABC and PQR, respectively where ΔABC ~ ΔPQR prove that AB/PQ = AD/PM.
4 years ago
Forum
Triangles
Replies: 0
Views: 135
Topic
A vertical pole of a length 6 m casts a shadow 4m long on the ground and at the same time a tower casts a shadow 28 m long. Find the height of the tower.
4 years ago
Forum
Triangles
Replies: 0
Views: 108
Topic
Sides AB and AC and median AD of a triangle ABC are respectively proportional to sides PQ and PR and median PM of another triangle PQR. Show that ΔABC ~ ΔPQR.
4 years ago
Forum
Triangles
Replies: 0
Views: 139
Topic
D is a point on the side BC of a triangle ABC such that ∠ADC = ∠BAC. Show that CA^2 = CB.CD
4 years ago
Forum
Triangles
Replies: 0
Views: 143
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