Question

Find root 3.5 and root 9.3 geometrically

Answer 1

Step-by-step explanation:

Step 1: Draw a line segment AB = 3.5 units

Step 2: Produce B till point C, such that BC = 1 unit Step 3: Find the mid-point of AC, say O.

Step 4: Taking O as the centre draw a semi circle, passing through A and C.

Step 5: Draw a line passing through B perpendicular to OB, and cut semicircle at D.

Step 6: Consider B as a centre and BD as radius draw an arc cutting OC produced at E.

In right ΔOBD, BD2 = OD2 – OB2 = OC2 – (OC – BC)2 (As, OD = OC) BD2 = 2 OC x BC – (BC)2 = 2 x 2.25 x 1 – 1 = 3.5 => BD = √3.5