The lengths of sides of a triangle have to satisfy the triangle inequality, which states that the sum of the two shorter sides must exceed the length of the third side.
Here 9+8=17 (not greater), so these segments do not form a triangle.
If you learned about the 45-45-90 triangle (which is isosceles), then the faster way is to know that the hypotenuse (side opposite of right angle) is √2 times either one of the sides.
3√2 = (√2)x
x = 3
But if you didn't learn the 45-45-90 triangle yet, that's ok.
Recall the trigonometric ratios for right triangles: sine (sin), cosine (cos), tangent (tan).
If your angle is x, then
sin(x) = opposite side / hypotenuse
cos(x) = adjacent side / hypotenuse
tan(x) = opposite side / adjacent side
Remember the hypotenuse is the side opposite and across from the right angle (3√2 in this case).
An acronym to remember this is SohCahToa.
In this problem, the angle given is 45°, and you need to find the length of the adjacent side x. The hypotenuse is also given as 3√2.
Because we have the adjacent side and the hypotenuse, we use cosine to relate those two sides
cos(45°) = x / (3√2)
x = (3√2)cos45°
If you plug this into your calculator (in degree mode), then
x = 3
Answer:
6.25%
Step-by-step explanation:
We first begin by solving for the original price of the cell phone.
if 2400 = 125%
x = 100%
By cross multplying, we get
125x = 2400 * 100
x = 240000/125
x = 1920rs
To find the profit percentage on the new sale price, we repeat another set of equations
100% = 1920
x = 2040
1920x = 2040 * 100
x = 204000/1920
x = 106.25%
His new profit percentage is 6.25%
