The hypotenuse
of a right angled triangle exceeds one side by 1 cm and the other side by 18 cm find the length of the sides of the triangle
Answers
Let x be the length of the hypotenuse of the given right angled triangle.
Then the length of one leg is x-1, and the length of the other leg is x-18, according to the condition.
Then the Pythagorean theorems give an equation
(x-1)^2 + (x-18) ^2 = x^2
Simplify and solve it step by step to find x.
x^2 - 2x+1 + x^2-36x+324 = x^2
After solving this equation we will have two values of x that are x1= 25 and x2= 13.
Thus there are two solutions for the hypotenuse: 25 cm and/or 13 cm.
Since one leg is 18 cm shorter than the hypotenuse, only one solution has sense: x = 25.
Therefore, answer: -
The hypotenuse is 25 cm long. The legs are of 24 and 7 cm long. The shortest side is of 7 cm long.
Answer:
Ans hypotenuse will be 25cm
one side will be 24cm
other side will be 7cm
I hope it will help u ..............
