Step-by-step explanation:
From Pythagorean theorem, one of the sides can be determined as x^2 + y^2 =8^2
or y = (8^2 - x^2)^(1/2)
we can write the perimeter P as
P = 2x + 2y ---> 20 = 2x + 2(8^2 - x^2)^(1/2)
Dividing by 2, we get
10 = x + (8^2 - x^2)^(1/2)
Move the x to the other side,
10 - x = (8^2 - x^2)^(1/2)
Take the square of both sides to get rid of the radical sign:
(10 - x)^2 = 8^2 - x^2
Move everything to the left and expand the quantity inside the parenthesis:
x^2 + (100 - 20x + x^2) - 64 = 0
2x^2 - 20x + 64 = 0
or
x^2 - 10x + 32 = 0
Now we can see that a = -10 and b = 32
Hello!
We will write and solve this equation below.
6.
x-24=35
Add 24 to both sides.
x=59
7.
4c=28
Divide both sides by 4.
c=7
I hope this helps!
For this case we have that by definition, the area of a triangle is given by:

Where:
b: It is the base of the triangle
h: It is the height of the triangle
According to the statement data we have:

Substituting we have:

We divide between 2 on both sides:

We factor by looking for two numbers that, when multiplied, are obtained -88 and when added together, +3 is obtained.
These numbers are +11 and -8.

We have two roots:

We choose the positive value.
Thus, the base of the triangle is:
Answer:
The base of the triangle is 22 units.
Answer:
Answer:
true
Step-by-step explanation:
4/7 = 8/9
= 4*9/7*8
= 36/56
= 2*2*3*3/2*2*2*7
= 9/14
proved
Step-by-step explanation: