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Geometry - Triangles: Worksheet 6 - Intermediate-Advanced Practice Geometry - Triangles INTERMEDIATE ADVANCED

Ready to master Geometry - Triangles? This timed practice ⚡ worksheet (6/10) presents 20 intermediate-advanced-level challenges. Focus area: speed building. Learn to solve geometry - triangles tricks, handle geometry - triangles shortcut methods, and perfect geometry - triangles bank exam questions with our step-by-step solutions.

📝 Worksheet 6 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Intermediate Advanced level

What you'll learn in this worksheet:
Your progress through Geometry - Triangles
Worksheet 6 of 10 (55% complete)

Question 1

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 2

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 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: 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 5

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 6

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 7

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 8

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 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: 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 11

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 12

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 13

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 14

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 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: 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 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: 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 20

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.
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