In a right triangle the length of a hypotenuse is c and the length of one leg is a, and the length of the other leg is b, what is the value of b, if c=13, a=5

9514 1404 393

  b = 12

Step-by-step explanation:

A commonly seen "Pythagorean triple" is (a, b, c) = (5, 12, 13).

The value of b is 12.

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You may be expected to find this using the Pythagorean theorem.

  a² +b² = c²

  b² = c² - a²

  b = √(c² -a²) = √(13² -5²) = √(169 -25) = √144

  b = 12

Additional comment

Pythagorean triples you will run across are ...

  (3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17), (9, 40, 41)

and their multiples, such as 2×(3, 4, 5) = (6, 8, 10). Of course, there are an infinite number of integer Pythagorean triples, but these are ones commonly seen in algebra, trig, and geometry problems.

35-60 students are taking math.

3,6 and 7.

step-by-step explanation:

a) unit place of 37 is 7

so the unit place of cube of 37 will be

7³= 343=3

the answer is 3.

b) unit place of 56 is 6, so the unit place of cube of 56 will be

6³= 216=6

the answer is 6.

c) unit place of 133 is 3, so the unit place of cube of 133 will be

3³= 27= 7.

the answer is 7.