Answer:
yes
Step-by-step explanation:
The side lengths satisfy the Pythagorean theorem, so the triangle is a right triangle.
7.5² +10² = 12.5²
56.25 +100 = 156.25
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You may recognize that the ratios of side lengths are ...
7.5 : 10 : 12.5 = 3 : 4 : 5
A 3-4-5 triangle is a well-known right triangle, as this is the smallest set of integers that satisfy the Pythagorean theorem. They also happen to be consecutive integers, so form an arithmetic sequence. Any arithmetic sequence that satisfies the Pythagorean theorem will have these ratios.
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If you're familiar with trigonometry, you know the law of cosines tells you ...
c² = a² + b² - 2ab·cos(θ) . . . . where θ is the angle between sides a and b. This reduces to the Pythagorean theorem when θ=90°, which makes cos(θ)=0. If the sides do not satisfy the Pythagorean theorem, cos(θ)≠0 and the triangle is not a right triangle.
Blue I’m pretty I can’t see a picture but I’m pretty sure blue
Answer:
The Correct option is C ) 25
Therefore the value of x is 25 when y =40.
Step-by-step explanation:
Given:
Variable 'y' is directly proportional to the variable 'x'.
......Direct Variation
Where,
k = Constant of proportionality
To Find:
value of x = ? when y = 40
Solution:
First we need to find Constant of proportionality
When x = 20 and y = 32
Substituting the values we get

Now when k =1.6 , y = 40 then x will be

Therefore the value of x is 25 when y =40.
Answer:
8 ft
Step-by-step explanation:
if we made this into a rectangle (pretend you chop off one of the triangles and glue it to the other one to make a long rectangle), the length would be 10+4.5, or 14.5. to find what h is, we can just divide 116 by 14.5. our answer is 8.