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Lines & Triangles

Lines And Triangles

MODULES

Lines & Angles
Parallel Lines
Basics of Triangles
Types of Triangles
Triangle & its Segments
Area of a Triangle
Isosceles & Equilateral
Right-angled Triangles
Other Theorems
Congruency & Similarity
Past Questions

CONCEPTS & CHEATSHEET

Concept Revision Video

SPEED CONCEPTS

Lines & Triangles 1
-/10
Lines & Triangles 2
-/10
Lines & Triangles 3
-/10

PRACTICE

Lines & Triangles : Level 1
Lines & Triangles : Level 2
Lines & Triangles : Level 3
ALL MODULES

CAT 2025 Lesson : Lines & Triangles - Past Questions

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11. Past Questions

Question 1

Consider the triangle ABC shown in the following figure where BC = 12 cm, DB = 9 cm, CD = 6 cm and ∠\angle∠BCD = ∠\angle∠BAC. What is the ratio of the perimeter of the triangle ADC to that of the triangle BDC?

[CAT 2005]

79\dfrac{7}{9}97​
89\dfrac{8}{9}98​
69\dfrac{6}{9}96​
59\dfrac{5}{9}95​

Answer: (1) 79\dfrac{7}{9}97​

Question 2

The internal bisector of an angle A in a triangle ABC meets the side BC at point D. AB = 4, AC = 3 and ∠\angle∠A = 60°\degree°. Then what is the length of the bisector AD?
[CAT 2002]

232 \sqrt323​
1237\dfrac{12 \sqrt3}{7}7123​​
1538\dfrac{15 \sqrt3}{8}8153​​
637\dfrac{6 \sqrt3}{7}763​​

Answer: (2) 1237\dfrac{12 \sqrt3}{7}7123​​

Question 3

An equilateral triangle BPC is drawn inside a square ABCD. What is the value of the angle APD in degrees?
[CAT 2006]

75
90
120
135
150

Answer: (5) 150

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