This is a classic example of a 45-45-90 triangle: it's a right triangle (one angle of 90) & two other sides of the same length, which means two angles of the same length (and 45 is the only number that will work). With a 45-45-90 triangle, the lengths of the legs are easy to determine:
45-45-90
1-1-sqrt2
Where the hypotenuse corresponds to sqrt2.
Now, your hypotenuse is 10.
To figure out what each leg is, divide 10/sqrt2 (because sqrt2/sqrt2 = 1, which is a leg length in the explanation above).
Problem: you can't divide by radicals. So, we'll have to rationalize the denominator:
(10•sqrt2)/(sqrt2•sqrt2)
This can be rewritten:
10sqrt2/sqrt(2•2)
=10sqrt2/sqrt4
=10sqrt2/2
=5sqrt2
Hope this helps!!
Answer:
Be an GH
Step-by-step explanation:
the answer for this question is -3
Answer:
Option D.
The discriminat is equal to 24 which
Step-by-step explanation:
The quadratic equation is
-2x² + 3 = 0
Discriminat in quadratic equation tells us the number of solution a quadratic equation has.
For example, the quadratic equation
Ax² + bx + c = 0 will have a discriminat of b² - 4ac.
b² - 4ac is equal to the value of the discriminat and equal to the number of solutions the quadratic equation has.
In our question, we have -2x² + 3 = 0
A = -2
B = 0
C = 3
b² - 4ac = 0
Substitute the values into the above equation.
0² - 4(-2 ×3) = 0
0 + -4 × -6 = 0
24 = 0
The discriminat of the equation is 24