Comment
In a 45 - 45 - 90 triangle the two smaller sides are =. So when you use
a^2 + b^2 = c^2, you need a and b both to find the area.
So call both of them = b^2.
Equation and solution
a^2 + b^2 = c^2
b^2 + b^2 = c^2
2b^2 = c^2
c = 24
b = ???
2 b^2 = 24^2
2 b^2 = 576 Divide by 2
b^2 = 288 I'm going to leave this as it is for the moment. You'll see what in a second.
Area of a triangle
Area of a triangle = 1/2 h * b
But the height and base are the 2 smaller equal sides of a 45_45_90 triangle
so h = b
base = b
Area of a triangle = 1/2 b^2 The equalities above tell you that. h and b of the triangle are equal.
Area = 1/2 288 feet^2
Area = 144 feet^2
Answer:
5^2x
Step-by-step explanation:
write the number in exponential form with a base of 5
(5^2)^x
simplify the expression by multiplying exponents
5^2x
The numbers are "x" and "y",
we suggest this system of equations.
x+y=24
x-y=15
solve by reduction method.
x+y=24
x-y=15
-----------------
2x=39 ⇒x=39/2=19.5
x+y=24
-(x-y=15)
-------------------
2y=9 ⇒y=9/2=4.5
The numbers are 19.5 and 4.5
To check
19.5+4.5=24
19.5-4.5=15
1) 16n - 5
2) 4a + 3b
3) -3c + 27 + 4d
4) 2x - 7y + 3
5) 21x + 14x(second power)
