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:
Length of each leg = 130 cm.
Step-by-step explanation:
Given that there is an isosceles triangle which has perimeter 345 cm.
Base length =85 cm.
Since other two sides are equal, let the equal size = x
Perimeter = sum of all 3 sides of a triangle
= 85+x+x = 85+2x
But perimeter = 345 (given)
So equate x term perimeter with actual
85+2x = 345
Subtract 85
2x = 260
Divide by 2
x =130 cm.
Hence answer is 130 cm.
Answer:
It is 6x^6 ... since you divide 12÷2=6 and you subtract exponents
Answer:
10 cans
Step-by-step explanation:
4 blue gallons + 6 white gallons = 10 gallons total. each gallon fills one can. that's ten total cans
3x^2 = 2(x + 4)
3x^2 = 2x + 8
3x^2 - 2x - 8 = 0
(3x + 4)(x - 2) = 0
3x + 4 = 0
3x = -4
x = -4/3
x - 2 = 0
x = 2
solution is : x = -4/3 or x = 2 <==
