Question

For question 15 I didn’t attend my school session.so, i have no idea what’s the rule of the pithagoras theorem

Answer 1

Explanation:

Pythagoras simply says that for a right triangle, the sum of the squares of the two shorter legs will equal the square of the hypotenuse.

a² + b² = c²

in this case a = x

b = x + 2

c = x + 3

x² + (x + 2)² = (x + 3)²

x² + (x + 2)² = (x + 3)²

x² + (x² + 4x + 4) = (x² + 6x + 9)

2x² + 4x + 4 = x² + 6x + 9

x² - 2x - 5 = 0

quadratic formula

x = (2 ±√(2² - 4(1)(-5))) / (2(1))

x = (2 ± √24) / 2

a negative length does not make sense so

x = 1 + √6

x ≈ 3.4

x + 2 ≈ 5.4

x + 3 ≈ 6.4