Find the value of the variable.

Mathematics

2 answers:

vodomira [7]2 years ago

4 0

Answer:

x = 50, y = 25

Step-by-step explanation:

This is a 30° 60° 90° triangle. In this triangle, the long leg of the triangle will be the short leg length multiplied by √3, so we can simply divide by √3 to find the short leg (y).

y = 25√3/√3 = 25

Therefore, y = 25.

Lastly, in this type of triangle, the hypotenuse is double the short leg length.

x = 2(25) = 50

Therefore, x = 50.

Sedaia [141]2 years ago

3 0

Answer:

x = 50

y = 25

Step-by-step explanation:

This triangle is a 30-60-90 triangle. (The image below explains what it is).

Since the side that is facing the 60* angle is 25 sqrt 3, then y has to be 3 since the side facing the 30* angle is "x" and the side facing the 60* is "x sqrt 3". To find x, the hypothenuse, we have to do 2*y which is 50.

Hope this helped! <3

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Suppose Marcy's rectangular laptop measures 12 inches by 9 inches. Find the diagonal measurement from corner A to corner B.

astraxan [27]

Answer:

the diagonal measurement from corner A to corner B=15 inches

Step-by-step explanation:

as we know that the loptop has the shape of a rectangle that means all it's angles are right angles. so we can use the pythogoras theorem to find out the diagonal of the rectangle.

let us denote the diagonal of rectangle by D and the sides of rectangle be denoted by X=12 and Y=9

so by using pythogoras theorem we have,

$D^{2} =X^{2} +Y^{2}$