SOLUTION: the hypotenuse of a right angle triangle is 8 cm. if one leg is 2 cm longer than the other, find their lengths (2 decimal places)

Question 949829: the hypotenuse of a right angle triangle is 8 cm. if one leg is 2 cm longer than the other, find their lengths (2 decimal places)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the hypotenuse of a right angle triangle is 8 cm. if one leg is 2 cm longer than the other, find their lengths (2 decimal places)
-----
Use Pythagoras::
x^2 + (x+2)^2 = 8^2
-------
x^2 + x^2 + 4x +4 = 64
-------
2x^2 + 4x - 60 = 0
--------
x^2 + 2x - 30 = 0
-----
Positive solution::
x = 4.57 cm
x+2 = 6.47 cm
-------------------
Cheers,
Stan H.
-----------------
RELATED QUESTIONS
The hypotenuse of a right triangle is 2 cm longer than one leg, The other leg has length... (answered by ikleyn)

one leg of a right triangle is 2 cm longer than the other leg, hypotenuse is 7 cm longer... (answered by josgarithmetic,math_tutor2020)

In a right triangle, one leg is 2 cm longer than the other leg, and the hypotenuse is... (answered by mananth)

One leg of a right triangle is 7 cm longer than the other leg. The hypotenuse is 1 cm... (answered by ankor@dixie-net.com)

One leg of a right triangle is 2 cm longer than the other leg, and the hypotenuse is 3 cm (answered by CubeyThePenguin)

A RIGHT TRIANGLE HAS A HYPOTENUSE WITH A MEASURE OF 20 CM. FIND THE LENGTHS OF THE LEGS... (answered by sowmya)

Suppose a right triangle has a hypotenuse which is 2 cm longer than one leg and 9 cm... (answered by stanbon)

The hypotenuse of a right triangle is 13 cm. One leg of the triangle is 7cm longer than... (answered by stanbon)

2. The length of the hypotenuse of a right triangle is 13 cm. The length of one leg is... (answered by jim_thompson5910)