The hypotenuse of a right triangle is 6 m more than twice the shortest side. The third side is 2 m less than the hypotenuse. The shortest side (in m) is:
Use Pythagoras and solve.

Question

The hypotenuse of a right triangle is 6 m more than twice the shortest side. The third side is 2 m less than the hypotenuse. The shortest side (in m) is: Use Pythagoras and solve.

Accepted Answer

10. Shortest x, hypotenuse 2x+6, third side (2x+6)-2 = 2x+4. x^2 + (2x+4)^2 = (2x+6)^2, x^2 +4x^2+16x+16 = 4x^2+24x+36, x^2 -8x -20 = 0, (x-10)(x+2)=0. x = 10 (check: 10,24,26 is a right triangle).

The hypotenuse of a right triangle is 6 m more than twice the shortest side. The third side is 2 m less than the hypotenuse. The shortest side (in m) is:
Use Pythagoras and solve.

Step-by-Step Solution

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More Class 10 Quadratic Word Problems practice

The hypotenuse of a right triangle is 6 m more than twice the shortest side. The third side is 2 m less than the hypotenuse. The shortest side (in m) is:Use Pythagoras and solve.

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Quadratic Word Problems practice

The hypotenuse of a right triangle is 6 m more than twice the shortest side. The third side is 2 m less than the hypotenuse. The shortest side (in m) is:
Use Pythagoras and solve.