ANSWER ANY FOUR Questions 1)Construct an Equilateral triangle ABC, given AB=50mm 2)Construct an isosceles…

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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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here are the construction steps for the triangles in your image, formatted as requested:

1) Construct an Equilateral triangle ABC, given AB= $50 \text{ mm}$

Draw a line segment AB of length $50 \text{ mm}$ .
Place the compass point at A and open it to a radius of $50 \text{ mm}$ .
Draw an arc above the line segment AB.
Place the compass point at B and, keeping the radius at $50 \text{ mm}$ , draw another arc that intersects the first arc.
Label the point where the two arcs intersect as C.
Draw straight lines to connect A to C and B to C.
$\boxed{\text{The resulting triangle ABC is an \textbf{equilateral triangle} with all sides measuring } 50 \text{ mm}.}$
2) Construct an isosceles triangle ABC, given AB= $70 \text{ mm}$ , AC= $50 \text{ mm}$
Draw a line segment AB of length $70 \text{ mm}$ .
Place the compass point at A and open it to a radius of $50 \text{ mm}$ (length of AC).
Draw an arc above the line segment AB.
Since it's an isosceles triangle and AC = $50 \text{ mm}$ , the other equal side must be BC, so BC = $50 \text{ mm}$ .
Place the compass point at B and, keeping the radius at $50 \text{ mm}$ , draw another arc that intersects the first arc.
Label the point where the two arcs intersect as C.
Draw straight lines to connect A to C and B to C.
$\boxed{\text{The resulting triangle ABC is an \textbf{isosceles triangle} with sides AB = } 70 \text{ mm, AC = } 50 \text{ mm, and BC = } 50 \text{ mm}.}$
3) Construct a scalene triangle ABC, given AB= $80 \text{ mm}$ , AC= $60 \text{ mm}$ , BC= $40 \text{ mm}$
Draw a line segment AB of length $80 \text{ mm}$ .
Place the compass point at A and open it to a radius of $60 \text{ mm}$ (length of AC).
Draw an arc above the line segment AB.
Place the compass point at B and open it to a radius of $40 \text{ mm}$ (length of BC).
Draw another arc that intersects the first arc.
Label the point where the two arcs intersect as C.
Draw straight lines to connect A to C and B to C.
$\boxed{\text{The resulting triangle ABC is a \textbf{scalene triangle} with sides AB = } 80 \text{ mm, AC = } 60 \text{ mm, and BC = } 40 \text{ mm}.}$

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

Step-by-step solution

Draw a line segment AB of length $50 \text{ mm}$ .

Place the compass point at A and open it to a radius of $50 \text{ mm}$ .

Place the compass point at B and, keeping the radius at $50 \text{ mm}$ , draw another arc that intersects the first arc.

Label the point where the two arcs intersect as C.

Draw straight lines to connect A to C and B to C.

Draw a line segment AB of length $70 \text{ mm}$ .

Place the compass point at A and open it to a radius of $50 \text{ mm}$ (length of AC).

Since it's an isosceles triangle and AC = $50 \text{ mm}$ , the other equal side must be BC, so BC = $50 \text{ mm}$ .

Label the point where the two arcs intersect as C.

Draw straight lines to connect A to C and B to C.

Draw a line segment AB of length $80 \text{ mm}$ .

Place the compass point at A and open it to a radius of $60 \text{ mm}$ (length of AC).

Place the compass point at B and open it to a radius of $40 \text{ mm}$ (length of BC).

Label the point where the two arcs intersect as C.

Draw straight lines to connect A to C and B to C.

Still stuck on this one?

More Mathematics Questions

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

Step-by-step solution

Draw a line segment AB of length 50 mm50 \text{ mm}50 mm.

Place the compass point at A and open it to a radius of 50 mm50 \text{ mm}50 mm.

Place the compass point at B and, keeping the radius at 50 mm50 \text{ mm}50 mm, draw another arc that intersects the first arc.

Label the point where the two arcs intersect as C.

Draw straight lines to connect A to C and B to C.

Draw a line segment AB of length 70 mm70 \text{ mm}70 mm.

Place the compass point at A and open it to a radius of 50 mm50 \text{ mm}50 mm (length of AC).

Since it's an isosceles triangle and AC = 50 mm50 \text{ mm}50 mm, the other equal side must be BC, so BC = 50 mm50 \text{ mm}50 mm.

Label the point where the two arcs intersect as C.

Draw straight lines to connect A to C and B to C.

Draw a line segment AB of length 80 mm80 \text{ mm}80 mm.

Place the compass point at A and open it to a radius of 60 mm60 \text{ mm}60 mm (length of AC).

Place the compass point at B and open it to a radius of 40 mm40 \text{ mm}40 mm (length of BC).

Label the point where the two arcs intersect as C.

Draw straight lines to connect A to C and B to C.

Still stuck on this one?

More Mathematics Questions

Draw a line segment AB of length $50 \text{ mm}$ .

Place the compass point at A and open it to a radius of $50 \text{ mm}$ .

Place the compass point at B and, keeping the radius at $50 \text{ mm}$ , draw another arc that intersects the first arc.

Draw a line segment AB of length $70 \text{ mm}$ .

Place the compass point at A and open it to a radius of $50 \text{ mm}$ (length of AC).

Since it's an isosceles triangle and AC = $50 \text{ mm}$ , the other equal side must be BC, so BC = $50 \text{ mm}$ .

Draw a line segment AB of length $80 \text{ mm}$ .

Place the compass point at A and open it to a radius of $60 \text{ mm}$ (length of AC).

Place the compass point at B and open it to a radius of $40 \text{ mm}$ (length of BC).