Master Geometry - Triangles - Intermediate-Advanced Level Problems Geometry - Triangles INTERMEDIATE ADVANCED

Excel in competitive exams with this self assessment worksheet on Geometry - Triangles. Worksheet 7 of 10 contains 20 intermediate-advanced-level problems. Target your accuracy improvement skills while practicing geometry - triangles shortcut methods, geometry - triangles bank exam questions, and geometry - triangles ssc cgl.

📝 Worksheet 7 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate Advanced level

What you'll learn in this worksheet:

Master geometry - triangles shortcut methods through focused practice
Understand the logic behind geometry - triangles bank exam questions
Learn step-by-step approaches to accuracy improvement
Master complex problem variations and edge cases
Develop advanced shortcut techniques

Your progress through Geometry - Triangles

Worksheet 7 of 10 (66% complete)

Question 1

Question: What is the perimeter of triangle ABC? Statement (1): AB = 5 cm, BC = 7 cm Statement (2): Triangle is isosceles with AC as base

Even together, we don't know if AB = AC or BC = AC. Multiple possibilities exist.

Question 2

Question: What is the area of triangle ABC? Statement (1): Base BC = 8 cm Statement (2): Height from A to BC = 5 cm

Area = (1/2) × base × height = (1/2) × 8 × 5 = 20 cm².

Question 3

Question: What is the perimeter of triangle ABC? Statement (1): AB = 5 cm, BC = 7 cm Statement (2): Triangle is isosceles with AC as base

Even together, we don't know if AB = AC or BC = AC. Multiple possibilities exist.

Question 4

Question: What is the perimeter of triangle ABC? Statement (1): AB = 5 cm, BC = 7 cm Statement (2): Triangle is isosceles with AC as base

Even together, we don't know if AB = AC or BC = AC. Multiple possibilities exist.

Question 5

Question: What is the area of triangle ABC? Statement (1): Base BC = 8 cm Statement (2): Height from A to BC = 5 cm

Area = (1/2) × base × height = (1/2) × 8 × 5 = 20 cm².

Question 6

Question: Is triangle ABC equilateral? Statement (1): AB = BC Statement (2): Angle B = 60°

From (1): Isosceles triangle with AB = BC. From (2): Angle B = 60°. In isosceles triangle with vertex angle 60°, base angles are (180-60)/2 = 60° each → equilateral.

Question 7

Question: Is triangle ABC equilateral? Statement (1): AB = BC Statement (2): Angle B = 60°

From (1): Isosceles triangle with AB = BC. From (2): Angle B = 60°. In isosceles triangle with vertex angle 60°, base angles are (180-60)/2 = 60° each → equilateral.

Question 8

Question: Is triangle ABC a right triangle? Statement (1): Sides are 3, 4, and 5 units. Statement (2): Angles are in the ratio 1:2:3.

Statement (1): 3² + 4² = 9 + 16 = 25 = 5², satisfies Pythagoras → right triangle. Statement (2): Angles sum to 180°, ratio 1:2:3 gives angles 30°, 60°, 90° → right triangle.

Question 9

Question: What is the perimeter of triangle ABC? Statement (1): AB = 5 cm, BC = 7 cm Statement (2): Triangle is isosceles with AC as base

Even together, we don't know if AB = AC or BC = AC. Multiple possibilities exist.

Question 10

Question: What is the perimeter of triangle ABC? Statement (1): AB = 5 cm, BC = 7 cm Statement (2): Triangle is isosceles with AC as base

Even together, we don't know if AB = AC or BC = AC. Multiple possibilities exist.

Question 11

Question: Is triangle ABC a right triangle? Statement (1): Sides are 3, 4, and 5 units. Statement (2): Angles are in the ratio 1:2:3.

Statement (1): 3² + 4² = 9 + 16 = 25 = 5², satisfies Pythagoras → right triangle. Statement (2): Angles sum to 180°, ratio 1:2:3 gives angles 30°, 60°, 90° → right triangle.

Question 12

Question: Is triangle ABC equilateral? Statement (1): AB = BC Statement (2): Angle B = 60°

From (1): Isosceles triangle with AB = BC. From (2): Angle B = 60°. In isosceles triangle with vertex angle 60°, base angles are (180-60)/2 = 60° each → equilateral.

Question 13

Question: Is triangle ABC equilateral? Statement (1): AB = BC Statement (2): Angle B = 60°

From (1): Isosceles triangle with AB = BC. From (2): Angle B = 60°. In isosceles triangle with vertex angle 60°, base angles are (180-60)/2 = 60° each → equilateral.

Question 14

Question: What is the perimeter of triangle ABC? Statement (1): AB = 5 cm, BC = 7 cm Statement (2): Triangle is isosceles with AC as base

Even together, we don't know if AB = AC or BC = AC. Multiple possibilities exist.

Question 15

Question: Is triangle ABC equilateral? Statement (1): AB = BC Statement (2): Angle B = 60°

From (1): Isosceles triangle with AB = BC. From (2): Angle B = 60°. In isosceles triangle with vertex angle 60°, base angles are (180-60)/2 = 60° each → equilateral.

Question 16

Question: What is the perimeter of triangle ABC? Statement (1): AB = 5 cm, BC = 7 cm Statement (2): Triangle is isosceles with AC as base

Even together, we don't know if AB = AC or BC = AC. Multiple possibilities exist.

Question 17

Question: What is the area of triangle ABC? Statement (1): Base BC = 8 cm Statement (2): Height from A to BC = 5 cm

Area = (1/2) × base × height = (1/2) × 8 × 5 = 20 cm².

Question 18

Question: What is the area of triangle ABC? Statement (1): Base BC = 8 cm Statement (2): Height from A to BC = 5 cm

Area = (1/2) × base × height = (1/2) × 8 × 5 = 20 cm².

Question 19

Question: Is triangle ABC a right triangle? Statement (1): Sides are 3, 4, and 5 units. Statement (2): Angles are in the ratio 1:2:3.

Statement (1): 3² + 4² = 9 + 16 = 25 = 5², satisfies Pythagoras → right triangle. Statement (2): Angles sum to 180°, ratio 1:2:3 gives angles 30°, 60°, 90° → right triangle.

Question 20

Question: What is the area of triangle ABC? Statement (1): Base BC = 8 cm Statement (2): Height from A to BC = 5 cm

Area = (1/2) × base × height = (1/2) × 8 × 5 = 20 cm².

🏆 Halfway champion! 66% through Geometry - Triangles. Keep the momentum!

Previous Worksheet Next Worksheet