Question

construct a right triangle whose base is 12 centimetre and the sum of the hypotenuse and other side is 18 cm

Answer 1

let hypotenuse be x and
other side be 18- x
12²+(18-x)²=x
144+324+x²-36x=x²
468-36x=x²-x²
36x=-468
36x=468
x=468/36=13
other side=18-13=5
hypotenuse=13
construction-
1.now draw a line AB=12cm
2.make a 90°angle
3.Take a radius of 5 cm and place it on one end of line and mark an arc on the angle and mark the point as C
4. join A,B and C
hope it helps