Question

Given the triangle below, find the missing side length.

Answer 1

Answer:

a = 7

Step-by-step explanation:

Using Pythagoras' identity in the right triangle,

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

a² + b² = c² , substitute values

a² + 2.4² = 7.4², that is

a² + 5.76 = 54.76 ( subtract 5.76 from both sides )

a² = 49 ( take the square root of both sides )

a = $\sqrt{49}$ = 7