Question

Find the missing length of the triangle.

23 m
a
18.4 m
The missing length is
meters.

Answer 1

13.8

Explanation:

a^2 + b^2 = c^2

a^2 + 18.4^2 = 23^2

a^2 + 338.56 = 529

a^2 = 190.44

a = 13.8

The missing length is 13.8 meters

hope this was helpful :)

Answer 2

a = 13.8

(missing length of triangle = 13.8 meters)

Explanation:

The side lengths of a triangle can be related using the Pythagorean Theorem;

a² + b² = c²

where

a = one side length

b = other side length

c = hypotenuse (long side --across from 90° angle)

So, by plugging our values into the Pythagorean Theorem, we can solve for a:

a = unknown

b = 18.4

c = 23

a² + b² = c²

a² + 18.4² = 23²

a² + 338.56 = 539

- 338.56 - 338.56 {subtract 338.56 from both sides to isolate a}

a² = 190.44

√a² = √190.44

a = 13.8

so, the missing length of the triangle is 13.8 m

hope this helps!!