The diagonals of an isosceles trapezoid are 3x + 7 and 5x – 11. What is the value of x?
2 answers:
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Answer:
x = 10
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin60° = , then
sin60° = =
=
( cross- multiply )
2x = 20 ( divide both sides by 2 )
x = 10
Question 1:
This is a 45-45-90 right triangle. If the leg length is
, then the hypotenuse length will be 
.
The leg length of this 45-45-90 right triangle is 8. Multiply that with the square root of 2. You get
. Thus, the last choice is your answer.
Question 2:
This triangle can be identified as a 30-60-90 right triangle.
Let's say the smallest leg as a length of.
Then, the longer leg will have a length of
.
Also, the hypotenuse will have a length of
This triangle follows this format, making it a 30-60-90 right triangle. Thus, the angles are 30, 60, and 90.
Hope this helps! :)
This is a 45-45-90 right triangle. If the leg length is
The leg length of this 45-45-90 right triangle is 8. Multiply that with the square root of 2. You get
Question 2:
This triangle can be identified as a 30-60-90 right triangle.
Let's say the smallest leg as a length of
Then, the longer leg will have a length of
Also, the hypotenuse will have a length of
This triangle follows this format, making it a 30-60-90 right triangle. Thus, the angles are 30, 60, and 90.
Hope this helps! :)