Question

in this activity you will:
apply the pythagorean theorem to find missing side lengths of a right triangle.
solve real - life problems involving right triangles.
generate pythagorean triples
value: 2
what three numbers are the pythagorean triple generated by using 4 for x and 1 for y. remember to use the formulas: a = x^2 - y^2, b = 2xy, c = x^2 + y^2
a. 3, 5 and 8
b. 5, 11 and 12
c. 8, 15 and 17
d. 6, 8 and 10

Explanation:

Step1: Calculate value of a

Substitute \(x = 4\) and \(y=1\) into \(a=x^{2}-y^{2}\). So \(a = 4^{2}-1^{2}=16 - 1=15\).

Step2: Calculate value of b

Substitute \(x = 4\) and \(y = 1\) into \(b = 2xy\). So \(b=2\times4\times1 = 8\).

Step3: Calculate value of c

Substitute \(x = 4\) and \(y = 1\) into \(c=x^{2}+y^{2}\). So \(c=4^{2}+1^{2}=16 + 1=17\).

Answer:

C. 8, 15 and 17