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
Answer:
<em>Answer is</em><em> </em><em>given</em><em> </em><em>below with explanations</em><em>. </em>
Step-by-step explanation:

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Answer:
n + 4 = 6
6
Step-by-step explanation:
Given problem:
4 more than one third of a number n is 6
Unknown:
The equation = ?
Solution of the number = ?
Solution:
let the number = n
So, 4 more than one third of a number;
One third of n =
n
4 more;
n + 4
is 6;
n + 4 = 6 (equation of the expression)
Let us now solve the equation:
n + 4 = 6
n = 6 - 4
n = 2
n = 6
You calculate an answer by multiplying each side by each other. hope this helps.