Question

Construct a right triangle ABC whose base BC is 6 cm and the sum of hypotenuse AC and other side AB is 10 cm.

Answer 1

Steps of construction :

(i) Draw a line segment BC = 6 cm.

(ii) At B, draw a ray BX making an angle of ${90}^{\circ }$ and cut off BE = 10 cm.

(iii) Join EC and draw the perpendicular bisector of CE which intersects BE at A.

(iv) Join AC.

$△$ABC is the required triangle.