Question

△BCD ​ is a right triangle. The length of the hypotenuse is 18 centimeters. The length of one of the legs is 14 centimeters. What is the length of the other leg?

Answer 1

21.32 Cm

Explanation:

Add up the centiminer

Answer 2

The answer to your question is b = 11.31 cm or 8
`√(2)` cm

Explanation:

Data

hypotenuse = 18 cm

one leg = 14 cm

second leg = ?

Process

1.- Use the Pythagorean Theorem to solve this problem

c² = a² + b²

c = hypotenuse

a = longer leg

b= shorter leg

2.- Substitution

18² = 14² + b²

-Solve for b

b² = 18² - 14²

-Simplify

b² = 324 - 196

b² = 128

-Find the prime factors of 128

128 2

64 2

32 2

16 2

8 2

4 2

2 2

1

128 = 2⁶2¹

-Result

b = 11.31 or 8
`√(2)`