Question

The missing side of this triangle is approximately 42.

true or false

Answer 1

True

Step-by-step explanation

The given triangle has a right angle.

The hypotenuse is 64 units.

One of the shorter legs is 48 units.

The other shorter leg is 'a' units.

According to the Pythagoras Theorem, the sum of the length of the squares of the two shorter legs equals the square of the hypotenuse.

`{a}^(2) + {48}^(2) = {64}^(2)`

`{a}^(2) + 2304 = 4096`

`{a}^(2) = 4096 - 2304`

`{a}^(2) =1792`

`a = √(1792)`

`a = 42.33 \: units`

This is approximately 42 units.