The problems with extra information, are difficult to solve because sometimes, not all data should be used.
Therefore, students begin to doubt the fact that they are not using all the information raised in the problem.
Example:
Problem:
Suppose we have a triangle with a right angle. The problem gives us as data an angle and the sides of the triangle. We want to determine the length of the hypotenuse.
Solution:
Using the Pythagorean theorem we can solve the problem.
The given angle data is an extra information that you should not use for this case.
Answer:
Step-by-step explanation:
1). x² - 8x
To convert this expression into a perfect square trinomial,
x² - 2(4x) + 4² = (x - 2)²
Therefore , 4² = 16 should be added.
Option (4) is the answer.
2). x² + 2x = 3
x² + 2(1)(x) = 3
x² + 2(1)(x) + 1 = 3 + 1 [By adding 1 on both the sides]
(x + 1)² = 4
x + 1 = ±2
x = -3, -1
Option (1) is the answer.
3). 3x²- 18x = 21
x² - 6x = 7
x² - 2(3x) = 7
x² - 2(3x) + 3² = 7 + 3²
(x - 3)² = 7 + 9
(x - 3)² = 16
x - 3 = ±4
x = -1, 7
If you're asking for extrema, like the previous posting
well

like the previous posting, since this rational is identical, just that the denominator is negative, the denominator yields no critical points
and the numerator, yields no critical points either, so the only check you can do is for the endpoints, of 0 and 4
f(0) = 0 <---- only maximum, and thus absolute maximum
f(4) ≈ - 0.19 <---- only minimum, and thus absolute minimum
Given:
In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°.
To find:
The all possible values of ∠X, to the nearest degree.
Solution:
Law of Sines:

For ΔWXY,

Now,








Therefore, the value of ∠X is 17 degrees.
Just do b*h/2 for all the triangles.