Question

the hypotenuse of a right angle triangle is 17 cm and the difference between other two sides is 7 cm find the other two unkown sides of the triangle

Answer 1

Let the unknown sides be x,y.
For finding values of two unknowns, we need two equations.
Eqn. 1- x-y=7
Eqn. 2-
${h}^{2} = {x}^{2} + {y}^{2}$
Now hypotenuse is 17 so,
${h}^{2} = 289$
i.e
${x}^{2} + {y}^{2} = 289$
Now, from Eqn. 1 we can find value of y in terms of x as x=7+y
Put this in the last Eqn. And solve for x.
Then find out Y