Question

5. Construct a right triangle whose base is 12 cm and sum of its hypotenuse and the other
side is 18 cm........
show steps and construction both........
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Answer 1

Step-by-step explanation:

Steps of Construction

(i) Draw BC = 12 cm.

(ii) Construct ÐCBY = 90°.

(iii) From ray BY, cut-off line segment BD = 18 cm.

(iv) Join CD.

(v) Draw the perpendicular bisector of CD intersecting BD at A.

(vi) Join AC to obtain the required △ABC.

Justification

Since A lies on the perpendicular bisector of CD.

Therefore, AD = AC

Now, BD = BA + AD

⇒ BD = AB + AC

Hence, △ABC is the required triangle.

Answer 2

Steps Of Construction:

Draw a line segment AB = 12cm.

Draw a ray AX making right angle with AB.

Cut a line segment AD of length 18 cm from ray AX.

Join BD and make an angle DBY equal to ADB.

Let BY intersect AX at C. Join AC and BC.

Triangle ABC is the required triangle.

verify it please verify