The general formula for the sides of right triangle is
a² + b² = c²
Subtitute the equation of a and b to the formula a² + b², evaluate if the answer will be the same as the equation of c²
a² + b²
= (m² - n²)² + (2mn)²
= (m² - n²)(m² - n²) + (2mn)(2mn)
= (m⁴ - 2m²n² + n⁴) + 4m²n²
= m⁴ + 2m²n² + n⁴
Factorize the result
m⁴ + 2m²n² + n⁴
= (m² + n²)(m² + n²)
= (m² + n²)²
= c²
It's proven by the formula that c² = (m² + n²)²
so the c will be m² + n²
Answer:
Step-by-step explanation:
Red = r, blue = b,
Substitute:
- 9b = b + 288
- 8b = 288
- b = 288/8
- b = 26
Red marbles:
remember that to put a number in scientific notation is necessary to have the first digit of the number different to 0, so
to calculate the order of magnitude, if the number is greater than 3.16, we assume it as a 10, so in this case as 7.654 > 3.16 we get that the order is
So the order is 10^-3
Answer:
10.5 is the correct answer.
Step-by-step explanation:
Due to the fact Triangle CAB has "6" as its length, and Triangle FDE has "2" as its length, you multiply 3.5 and 3.
3.5 x 3=10.5
2 x 3=6
3.5/2=10.5/6, so the answer is 10.5.
Answer:
SAS
Step-by-step explanation:
It doesnt show the hypotenuse so its no HL
It doesnt show 2 angles so its not SAA or ASA
It doesnt show three sides so its not SSS
The little line indicates that the sides are congruent. They both have a right angle and the bottom lines are right on top of each other so its SAS