ANSWER ANY FOUR Questions 1)Construct an Equilateral triangle ABC, given AB=50mm 2)Construct an isosceles triangle ABC, given AB=70mm, AC=50 3)Construct a scalena triangle ABC, given AB=80mm, AC=60mm, BC=40mm

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Asked on July 3, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

Accepted Answer · 2026-07-03T11:28:42.972Z

here are the construction steps for the triangles in your image, formatted as requested: 1) Construct an Equilateral triangle ABC, given AB=50 mm Step 1: Draw a line segment AB of length 50 mm. Step 2: Place the compass point at A and open it to a radius of 50 mm. Draw an arc above the line segment AB. Step 3: Place the compass point at B and, keeping the radius at 50 mm, draw another arc that intersects the first arc. Step 4: Label the point where the two arcs intersect as C. Step 5: Draw straight lines to connect A to C and B to C. The resulting triangle ABC is an equilateral triangle with all sides measuring 50 mm. 2) Construct an isosceles triangle ABC, given AB=70 mm, AC=50 mm Step 1: Draw a line segment AB of length 70 mm. Step 2: Place the compass point at A and open it to a radius of 50 mm (length of AC). Draw an arc above the line segment AB. Step 3: Since it's an isosceles triangle and AC = 50 mm, the other equal side must be BC, so BC = 50 mm. Place the compass point at B and, keeping the radius at 50 mm, draw another arc that intersects the first arc. Step 4: Label the point where the two arcs intersect as C. Step 5: Draw straight lines to connect A to C and B to C. The resulting triangle ABC is an isosceles triangle with sides AB = 70 mm, AC = 50 mm, and BC = 50 mm. 3) Construct a scalene triangle ABC, given AB=80 mm, AC=60 mm, BC=40 mm Step 1: Draw a line segment AB of length 80 mm. Step 2: Place the compass point at A and open it to a radius of 60 mm (length of AC). Draw an arc above the line segment AB. Step 3: Place the compass point at B and open it to a radius of 40 mm (length of BC). Draw another arc that intersects the first arc. Step 4: Label the point where the two arcs intersect as C. Step 5: Draw straight lines to connect A to C and B to C. The resulting triangle ABC is a scalene triangle with sides AB = 80 mm, AC = 60 mm, and BC = 40 mm. Send me the next one 📸

Accepted Answer · 2026-07-03T11:28:42.972Z

here are the construction steps for the triangles in your image, formatted as requested: 1) Construct an Equilateral triangle ABC, given AB=50 mm Step 1: Draw a line segment AB of length 50 mm. Step 2: Place the compass point at A and open it to a radius of 50 mm. Draw an arc above the line segment AB. Step 3: Place the compass point at B and, keeping the radius at 50 mm, draw another arc that intersects the first arc. Step 4: Label the point where the two arcs intersect as C. Step 5: Draw straight lines to connect A to C and B to C. The resulting triangle ABC is an equilateral triangle with all sides measuring 50 mm. 2) Construct an isosceles triangle ABC, given AB=70 mm, AC=50 mm Step 1: Draw a line segment AB of length 70 mm. Step 2: Place the compass point at A and open it to a radius of 50 mm (length of AC). Draw an arc above the line segment AB. Step 3: Since it's an isosceles triangle and AC = 50 mm, the other equal side must be BC, so BC = 50 mm. Place the compass point at B and, keeping the radius at 50 mm, draw another arc that intersects the first arc. Step 4: Label the point where the two arcs intersect as C. Step 5: Draw straight lines to connect A to C and B to C. The resulting triangle ABC is an isosceles triangle with sides AB = 70 mm, AC = 50 mm, and BC = 50 mm. 3) Construct a scalene triangle ABC, given AB=80 mm, AC=60 mm, BC=40 mm Step 1: Draw a line segment AB of length 80 mm. Step 2: Place the compass point at A and open it to a radius of 60 mm (length of AC). Draw an arc above the line segment AB. Step 3: Place the compass point at B and open it to a radius of 40 mm (length of BC). Draw another arc that intersects the first arc. Step 4: Label the point where the two arcs intersect as C. Step 5: Draw straight lines to connect A to C and B to C. The resulting triangle ABC is a scalene triangle with sides AB = 80 mm, AC = 60 mm, and BC = 40 mm. Send me the next one 📸

ANSWER ANY FOUR Questions 1)Construct an Equilateral triangle ABC, given AB=50mm 2)Construct an isosceles triangle ABC, given AB=70mm, AC=50 3)Construct a scalena triangle ABC, given AB=80mm, AC=60mm, BC=40mm

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ANSWER ANY FOUR Questions 1)Construct an Equilateral triangle ABC, given AB=50mm 2)Construct an isosceles triangle ABC, given AB=70mm, AC=50 3)Construct a scalena triangle ABC, given AB=80mm, AC=60mm, BC=40mm

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