Question

Draw a square of sides 5 centimetres draw an isosceles triangle with the same area

Answer 1

Answer:

Area of square = a² = 5² = 25 cm²

Area of isosceles triangle = 25 cm² = ½×base×height.

So to get an isoceles triangle of same area, two possibilities are there. That's,

Double the height and keep the base same. A=½×5 cmx10 cm=25cm²

Double the base length and keep the height same. A=½×10cm×5cm=25 cm²

Construction of Square

Draw a line and on it mark a segment of 5 cm. At each end draw a perpendicular. On each perpendicular line, cut an arc of 5 cm. Join the free ends to form a square.

Construction of Isoceles Triangle

Similarly draw a line and on it mark a segment of 5 cm. Draw a perpendicular bisector on the segment. Cut an arc of 10 cm on the perpendicular line. Join the three points to get an isoceles triangle of same area as the square.

Alternatively, draw a line and on it mark a segment of 10 cm. Draw a perpendicular bisector on the segment. Cut an arc of 5 cm on the perpendicular line. Join the three points to get an isoceles triangle of same area as the square.

Step-by-step explanation: