What is the length of the third side of a right triangle if it is known that the two of the sides have lengths 9 and 12. How many solutions does this problem have?

How many checks will he have to make?

What are some possibilites of the missing digit?

Question

Max

Mathematics

20 July, 09:48

What is the length of the third side of a right triangle if it is known that the two of the sides have lengths 9 and 12. How many solutions does this problem have?

How many checks will he have to make?

What are some possibilites of the missing digit?

+3

Answers (2)

Know the Answer?

Alexia Carrillo · Answer 1

A^2 + b^2 = c^2 for right triangle

2 possible cases: a=9, b=12

c^2 = 9^2 + 12^2 = 81 + 144 = 225

c = 15

or a=9, c=12

b^2 = 12^2 - 9^2 = 144 - 81 = 63

b = 7.94

Giselle Osborn · Answer 2

The problem has two solutions

1. If 9 and 12 are legs, then the hypotenuse (x) is:

x = √ (9²+12²) = √ (81+144) = √225 = 15

2. If 9 is the leg, and 12 is the hypotenuse, then the other leg (x) is:

x = √ (12²-9²) = √ (144-81) = √63 ≈ 7.94

What is the length of the third side of a right triangle if it is known that the two of the sides have lengths 9 and 12. How many solutions does this problem have?How many checks will he have to make?What are some possibilites of the missing digit?

What is the length of the third side of a right triangle if it is known that the two of the sides have lengths 9 and 12. How many solutions does this problem have?

How many checks will he have to make?

What are some possibilites of the missing digit?