4. If a =15yds. and the hypotenuse c = 17 yds., what is the value of the leg b? 5. If b = 40 mi. and the hypotenuse c = 50 mi., what is the value of leg a?

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  4. 8 yds

  5. 30 mi

Step-by-step explanation:

The relation according to the Pythagorean theorem is ...

  c² = a² + b²

This can be solved for 'a' or 'b' to get ...

  a = √(c² -b²)

  b = √(c² -a²)

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4. b = √(17² -15²) = √(289 -225) = √64 = 8

The length of leg b is 8 yards.

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5. a = √(50² -40²) = √(2500 -1500) = √900 = 30

The length of leg 'a' is 30 mi.

Additional comment

You may recognize the relevant Pythagorean triples as (3, 4, 5) and (8, 15, 17). A few others that are often seen are (5, 12, 13), (7, 24, 25) and (9, 40, 41). Any of these can be multiplied by some factor, as the (3, 4, 5) triple is in problem 5.

hello i am doing good for you that it's summer in your country or state ; )

btw in my country we just have sun and rain as (because i live in the caribbean lol)

also, thx a lot for the points : )