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.
Answer:
0.354
Step-by-step explanation:
Answer:
T = 59
U = 27
V = 94
Step-by-step explanation:
(5x +4) + (8x + 6) + (2x+5) = 180
15x + 15 = 180
15x = 165
x = 11
Answer
S=3
Step-by-step explanation:
add 24 to both sides, then you subtract -42+24 take sign of the larges which is negative and youll get -6s=-18 divide -6 to both sides and you will get S=3
B. The median of the data set
**Update; A. The lower quartile**
See other answer for explanation.
