Question

Find the missing length.

C= - ✓ [?]
С
9
10
Pythagorean Theorem: a2 + b2 = c2

Option 1: 9
Option 2: 10

Answer 1

To find the missing length in a right triangle, we can use the Pythagorean theorem. In this case, the lengths of the legs are given as a = 9 and b = 10. Plugging these values into the equation, we find that the missing length, the hypotenuse (c), is approximately 13.45.

Step-by-step explanation:

The Pythagorean theorem relates the lengths of the legs of a right triangle to the length of the hypotenuse. The equation is given by a² + b² = c², where a and b are the lengths of the legs and c is the length of the hypotenuse.

To find the missing length, we can rearrange the equation as c = √(a² + b²). In this case, the given lengths are a = 9 and b = 10. Plugging these values into the equation, we get c = √(9² + 10²) = √(81 + 100) = √181 = 13.45 (rounded to two decimal places).

Therefore, the missing length is approximately 13.45.