Question

construct an isosceles right angled triangle ABC such that its hypotenuse BC equal to 6 CM​

Answer 1

Draw a line segment AC =3 cm. By a perpendicular bisector, locate it's midpoint, say O. Now AO = OC. At O, with AO as radius draw a circle. Locate a point B on the circumference by extending the perpendicular.

Triangle ABC is the required isocelse right triangle.

Cords AB = AC.

Base angles <BAC = <BCA = 45°.

AO = OC = OB = R = ½AC = 3 cm; R is the circumradius.

Inscribed angles in a semicircle are right angles. Central angle is 180°.

Inscribed angle is half of the central angle.