Question

Find the missing length of the triangle. If necessary, round your answer to the nearest tenth

Answer 1

x = 30

Explanation:

`a^(2) = c^(2) - b^(2)`

`a^(2) = 50^(2) - 40^(2)`

`a^(2) = 2500 - 1600`

`a^(2) = 900`

`\sqrt{a^(2)} = √(900)`

a = 30

Answer 2

30

Explanation:

Since this is a right triangle, we can use the Pythagorean theorem to find the missing side

a^2 +b^2 = c^2 where a and b are the sides and c is the hypotenuse

x^2 + 40^2 = 50^2

x^2 +1600 = 2500

x^2 = 2500-1600

x^2 = 900

Take the square root of each side

sqrt(x^2) = sqrt(900)

x = 30