Question

Pythagorean Theorem

Question 8: A right angle triangle has a hypotenuse of 45cm and a leg of
40 cm. Use pythagorean theorem to determine the other leg.

Answer 1

other leg is 20.62 cm

Explanation:

pythagorean theorem is

a^2+b^2=c^2

c is the hypotenuse

40^2+b^2=45^2

1600+b^2=2025

b^2=2025-1600

b^2=425

b= the square root of 425

b=20.62

Answer 2

Explanation:

Formula

c^2 = a^2 + b^2

Givens

Hypotenuse (c) = 45

a = 40

b = ?

Solution

45^2 = 40^2 + b^2

2025 = 1600 + b^2 Subtract 1600 from both sides.

2025-1600 = 1600-1600 + b^2 Combine

425 = b^2 Take the square root of both sides.

√425 = √b^2

b = 20.62

Answer

The third side is 20.62 cm