Question

Find each missing length using pythagorean theorem.

Answer 1

a. x = 5

b. y ≈ 14.2

Explanation:

Pythagorean theorem is:

c² = a² + b²

where c is the hypotenuse (the longest side, opposite of the right angle) and a and b are the legs.

a. c² = a² + b²

c² = 3² + 4²

c² = 9 + 16

c² = 25

c = 5

b. c² = a² + b²

18² = y² + 11²

324 = y² + 121

203 = y²

y ≈ 14.2

Answer 2

Answer:x = 5

y = 14.25

Explanation:

4a) The Pythagorean theorem is expressed as

Hypotenuse^2 = opposite side^ + adjacent side ^2

Looking at the triangle,

Hypotenuse = x

Opposite side = 3

Adjacent side = 4

Therefore,

x^2 = 3^2 + 4^2

x^2 = 9 + 16 = 25

x = √25 = 5

4b) Looking at the triangle,

Hypotenuse = 18

Opposite side = 11

Adjacent side = y

Therefore,

18^2 = 11^2 + y^2

y^2 = 18^2 - 11^2

y^2 = 324 - 121

y^2 = 203

y = 14.25