Let, one leg be x units.
since the other leg is 9.0 units shorter than the other,
the measure of the other leg =x-9
hypotenuse =13.0 units
According to Pythagorean theorem, the square of the hypotenuse is equal to the sum of squares of the other two sides.
x^2 +(x-9)^2 =13^2
x^2 + x^2 -18x +81 = 169
2x^2-18x-88=0
Divide the whole equation by 2
x^2 - 9x -44 =0
Let's use the quadratic formula to find the roots.
formula: x= [-b ± sqrt(b^2-4*a*c)]/2*a
a=1 b=-9 c=-44
x= [9±sqrt(81+176)]/2
=[9±sqrt(257)]/2
=[9±16.03]/2
=25.03/2 or -7.03/2
length of a triangle cannot be negative,
Therefore, x=25.03/2 =12.52
one leg =12.5 units
other leg =12.52-9 =3.5 units
True
I hope I helped you out
Answer:
2
Step-by-step explanation:
the answer is D. 24, do to station 2
<u><em>Answer: x=6 *The answer should be the positive sign.*</em></u>
Step-by-step explanation:
division property of equality is dividing both sides of an equation by the same non-zero number does not change the equation.
divide by -8 both sides of an equation.
-8x/-8=-48/-8
48/8=6
48/6=8
8*6=48
x=6
Hope this helps!
Thanks!
Have a great day!
