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# Construct a right triangle whose base is 12cm and sum of its hypotenuse and other side is 18 cm.

Q5.    Construct a right triangle whose base is 12cm and sum of its hypotenuse and other side is 18 cm.

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The steps of construction to follow:

Step 1: Draw a ray BX and Cut off a line segment $BC=12cm$ from the ray.

Step 2: Now, construct an angle $\angle XBY = 90^{\circ}$.

Step 3: Cut off a line segment BD of length 18 cm on BY. Then join the CD.

Step 4: Now, construct a perpendicular bisector of CD which intersects BD at A and AC is joined.

Thus, the constructed triangle is ABC.

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