So this is considered a "special triangle." The 30-60-90 triangle states that if the short leg is x, then the hypotenuse is 2x and the long leg is x√3.
Since we have the short leg, to find the hypotenuse, or y in this case, multiply the short leg by 2:
17 × 2 = 34
Next, to find the long leg, or x in this case, multiply the short leg by √3:
17 × √3 = 17√3
In short, x = 17√3 and y = 34. The correct option is the last option.
Sin 45degrees= X/5
The value of the variable is
Step-by-step explanation: We are given to find the value of the variable 'x' in the figure.
We can see that the figure is a right-angled triangle with the length of the hypotenuse as follows:
h = 5 units.
Now, with respect to the angle of measure 45°, the length of the perpendicular is x units.
That is, p = x units.
From relations between trigonometric ratios, we have
Thus, the value of the variable is
The triangle is a right triangle.
We can use trigonometric functions to solve the problem.
The opposite side to the angle 45 degrees is x and the hypotenuse of the triangle is 7.
Multiply both sides of the equation by 7.
Simplify the value.
It's the triangle 30 - 60 - 90. The lengths of a side are in proportion 1 : √3 : 2.
x = 17√3, y = 34
We know that we can use trigonometry to solve for x here.
If we use tangent, we can solve for x directly:
So therefore we have solve for x, which is D) .
7 sqrt(2)/2 =x
Since this is a right triangle, we can use trig functions
sin theta = opp/ hyp
sin 45 = x/7
7 sin 45 =x
7 sqrt(2)/2 =x
You can just remember that 5 is the diagonal of a square of side length x.
c. 27 units.
we are told that in circle a, ∠bae ≅ ∠dae.
we can see from our given diagram that in and ;
, as these are radii of our given circle.
therefore, by sas congruence postulate.
hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:
now let us substitute x=17 in the expression for the length of be.
therefore, length of be will be 27 units and option c is the correct choice.