The angles of a triangle are in the ratio 2: 3:4, the longest side is 3.5cm Construct the triangle
Answers
Step-by-step explanation:
Constructing a triangle from a given perimeter in the ratio of 2:3:4
In order to get the perimeter in the ratio of 2:3:4 we add them together to get 9.
We now know that we will have to divide the perimeter into 9 equal parts using the dividing a line into an equal amount of parts principle.
Dividing a line into an equal amount of parts
Draw a line at any angle from Point A or B (it doesn't matter which one choose) any length, represented by the green line above.
Mark off nine steps with your compass, using the same radius.
Join the ninth arc back to point B.
Bring the rest of the arcs back parallel to the line B9. Where these lines meet the perimeter line we drew at the start give us nine new points. I moved two spaces over from point A and called it point D. I also moved 4 spaces from point B and called that point E. Notice how their is 3 spaces left between point D and E.
Next i swung an arc of radius AD from point D and an arc of radius EB from point E. Where the two arcs intersect create point F. Finally we join point D to F and point E to F, creating a triangle in the ratio of 2:3:4 of the given perimeter.
Answer:
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