Question

Find the value of the missing side of a triangle practice

Answer 1

There are many formulas to finding a side of a triangle.

Be sure to understand the differences between a right-angled triangle and an irregular-shaped triangle.

Right-angled triangle
Two sides must be known.

`{a}^(2) = {b}^(2) + {c}^(2)`
where 'a' squared is the hypotenuse of the triangle.

To find the non-hypotenuse side, the formula can be rearranged to

`{b}^(2) = {a}^(2) - {c}^(2)`
'b' can be any non-hypotenuse side.

Non-right angled triangle.
Cosine rule
Two sides and an angle must be know.

`a = {b}^(2) + {c }^(2) - 2ab \cos(angle \: facing \: a)`
That is just a few of the formulas I have listed.