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.
4
let the number be x
so by the question , 2x+5=13
solving this we get ,
2x=13-5
2x=8
so x=4
Answer:
height: 16 inch
length of base: 10 inch
width of base: 50 feet
Step-by-step explanation:
128*(1/8)=16 inch
80*(1/8)=10 inch
x*1/8=6.25
x=6.25*8=50 feet
A suitable probability calculator pegs that probability at 81%.
Answer:
Hal
Step-by-step explanation:
Hal got 54 points because 6 points for green times 9 green is 54 points. Jay got 49 points because 7 points for red times 7 red is 49 point.
