SOLUTION: The hypotenuse of a right triangle is 6cm and one side is 2cm longer than the other. Find the length of each side to the nearest tenth of a centimeter.
In this question, you have
Algebra.Com
Question 871468: The hypotenuse of a right triangle is 6cm and one side is 2cm longer than the other. Find the length of each side to the nearest tenth of a centimeter.
In this question, you have to use quadratic equations. (Grade 10)
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
using Pythagoras theorem
one leg be x
orther leg = x=2
x^2+(x+2)^2=6^2
x^2+x^2+4x+4=36
2x^2+4x+4=36
2x^2+4x-32=0
/2
x^2+2x-16=0
Find the roots of the equation by quadratic formula
a= 1 , b= 2 , c= -16
b^2-4ac= 4 + 64
b^2-4ac= 68
x1=( -2 + 8.25 )/ 2
x1= 3.12
x2=( -2 -8.25 ) / 2
x2= -5.12
x= 3.12 OR -5.12
RELATED QUESTIONS
One leg of a right triangle is 2cm longer than the other leg and 2 cm shorter than the... (answered by nerdybill)
The hypotenuse of a right triangle is 12cm longer than the shortest side, and 6cm longer... (answered by macston)
the hypotenuse of a right triangle is 6 cm. One side is 2cm longer than the other. Find... (answered by MathLover1,ikleyn)
The hypotenuse of a right triangle is 4 cm longer than one leg and 8cm longer than the... (answered by Fombitz)
In a right triangle one side is 1 unit longer than the other side and the perimeter is 12 (answered by stanbon)
The perimeter of a triangle is 24cm. One side is 2cm. longer than the shortest side. The (answered by stanbon)
The hypotenuse of a right triangle is 12cm. One side is 2cm longer than the other. FInd... (answered by johnnico6426,Fombitz)
one leg of a right triangle is 6cm shorter than the other leg. the length of the... (answered by stanbon)
The hypotenuse of a right triangle is 4 cm. longer than the one leg and 18 cm. longer... (answered by fractalier)