Solving for X in Right Triangles using the Sine Ratio

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Mathematics
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1st - 6th Grade
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Hard
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7 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the angle-angle similarity postulate used for?
To prove two triangles are congruent
To prove two triangles are similar
To calculate the area of a triangle
To find the hypotenuse of a right triangle
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If two right triangles have one acute angle of 50 degrees, what can be said about them?
They have the same perimeter
They have the same area
They are similar
They are congruent
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the sine ratio in a right triangle?
The length of the opposite side over the hypotenuse
The length of the adjacent side over the hypotenuse
The length of the hypotenuse over the opposite side
The length of the opposite side over the adjacent side
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Can the sine ratio be used in non-right triangles?
Yes, for any triangle
No, only for right triangles
Yes, but only for isosceles triangles
No, only for equilateral triangles
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In triangle ABC, if the sine of angle A is 0.5, what is the ratio of the opposite side to the hypotenuse?
3:1
1:2
2:1
1:1
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of X if the sine of angle A is equal to the sine of angle D in triangles ABC and DEF?
X = 4
X = 3
X = 2
X = 5
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you solve for X using the sine ratio in triangles ABC and DEF?
By calculating the tangent of angle D
By using the Pythagorean theorem
By finding the cosine of angle A
By equating the sine of angle A to the sine of angle D and solving the equation
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