draw a right angle triangle having hypotenuse of length 6.4 cm and one of the acute angle is 40 degree
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CONSTRUCTION OF RIGHT TRIANGLE HAVING HYPOTENUSE OF LENGTH 6.4 cm AND ONE OF THE ACUTE ANGLE 40°:
CALCULATION:
- Let AC be the hypotenuse, ∠C = 40° and ∠B = 90°.
- Given AC = 6.4 cm.
- From angle sum property we have,
∠A + ∠B + ∠C = 180°
∠A + 90 + 40 = 180
⇒ ∠A = 50°
CONSTRUCTION:
- Draw a line segment AC = 6.4 cm.
- Mark a point Y from A at angle 50°.
- Draw ray AY.
- Similarly, draw another ray CX from C making an angle 40°.
- Let the point of intersection of AY and CX be B.
- ABC is our required right angle.
- You can verify that ∠ABC = 90°.
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