Question

Please answer the question!

Answer 1

`Area = 2√(3) \: {cm}^(2)`

Step-by-step explanation

We need to use the Pythagoras Theorem to find the height of the triangle.

`{a}^(2) + {b}^(2) = {c}^(2)`

`({2 √(3)) }^(2) + {b}^(2) = {4}^(2)`

`12 + {b}^(2) = 16`

`{b}^(2) = 16 - 12`

`{b}^(2) = 4`

Take positive square root to get;

`b = √(4) = 2`

Area =½bh

`Area = (1)/(2) * 2√(3) * 2`

`Area = 2√(3) \: {cm}^(2)`