Use the formulas a = x^ 2 - y^ 2, b = 2xy, c = x^ 2 + y^ 2 to answer this question. One leg of a right triangle has length 7 and all sides are whole numbers. Find the lengths of the other two sides. Other leg = a^0 Hypotenuse = a^1

Question

Mathematics

Shaun Church

2 August, 13:20

Use the formulas a = x^ 2 - y^ 2, b = 2xy, c = x^ 2 + y^ 2 to answer this question. One leg of a right triangle has length 7 and all sides are whole numbers. Find the lengths of the other two sides. Other leg = a^0 Hypotenuse = a^1

+2

Answers (2)

Know the Answer?

Julianna Monroe · Answer 1

Answer=60 yw I got it from using a method a very easy one

Singleton · Answer 2

Let the legs of the right triangle be a and b and the hypothenus be c, then by the pythagoras theorem

Given that

Let a = 11, then

By trial and error, we can find that the value of x = 6 and the value of y = 5. i. e.

Thus, b = 2 (6) (5) = 60and

Therefore, the other leg = 60 and the hypotenuse = 61.