Question

State if the triangle is acute obtuse or right

Answer 1

x = 13.8 ft

The triangle is obtuse

Explanation:

Using the cosine rule to determine x:

`x=\sqrt{(11.7)^(2)+(7.4)^(2) -2(11.7)(7.4) * cos90 } \\=13.8 ft\\`

Testing whether or not the Pythagoras theorem applies

`r^(2) =x^(2) +y^(2) \\(13.8)^(2) = (7.4)^(2) +(11.7)^(2) \\190.44\\eq 191.65`

Therefore the triangle is obtuse