Question

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CONSTRUCT A RIGHT TRIANGLE WHOSE BASE IS 12 CM AND SUM OF ITS HYPOtenuse AND OTHER SIDE IS 18CM

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Answer 1

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1.Draw a line segment AB =12cm.

2.Draw a ray AX making right angle with AB.

3.Cut a line segment AD =18cm from ray AX.

4.Join BD and make an angle DBY equal to ADB.

5.Let BY intersect AX at C.Join AC and BC.
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Answer 2

Step 1: Draw a horizontal line of any length and mark a point C on it.

Step 2: Set the compass width to 3 cm.

Step 3: Place the pointer head of the compass on the point C and mark an arc on both the sides of C.

Step 4: Mark the points as P and A where the arcs cross the line.

Step 5: Set the compass width to the length of the hypotenuse, that is, 5 cm.

Step 6: Place the pointer head of the compass on the point P and mark an arc above C.

Step 7: Repeat step 6 from the point A.

Step 8: Mark the point as B where the two arcs cross each other.

Step 9: Join the points B and A as well as B and C with the ruler.

 

Thus, you obtain a right-angled triangle ACB of the required measurements