The students will be asked to draw a given triangle:

AB = 10 cm
∠CAB = 55°
∠CBA = 40°

To draw the given triangle with the lengths and angles provided, follow these step-by-step instructions:

Draw the base: Start by drawing line segment A B with a length of 10 cm . Use a ruler to ensure the measurement is accurate.

Draw angle ∠ C A B :



Place a protractor on point A and measure 5 5 ∘ from line A B along the counter-clockwise direction.

Mark this angle and draw a ray extending from point A through the marked point. This will partially form side A C .



Draw angle ∠ CB A :


Place the protractor on point B and measure 4 0 ∘ from line B A along the counter-clockwise direction.

Mark this angle and draw a ray extending from point B through the marked point. This will partially form side BC .



Locate Point C: The rays from steps 2 and 3 will intersect at a point which will be point C .

Complete the triangle: Connect points A , B , and C to form triangle A BC .


By following these steps, each angle and side should be accurately represented, and the triangle will satisfy the given conditions: A B = 10 cm , ∠ C A B = 5 5 ∘ , and ∠ CB A = 4 0 ∘ .

Answered by RyanHarmon181 | 2025-07-22

To draw triangle ABC with AB = 10 cm, ∠CAB = 55°, and ∠CBA = 40°, start by drawing segment AB. Then, measure and draw the specified angles at points A and B to locate point C. Finally, connect points A, B, and C to form triangle ABC.
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Answered by RyanHarmon181 | 2025-07-31