Perpendicular lines intersect to form four right angles.: ∠BCA = 90°
For example, let's say a=5, b=7, and c=8 (these are just example values). You would substitute these into the equation:
c - accros ⁵²- ⁷²- ⁸²/2-5-7)
To calculate ∠BCA in a triangle where ∠BCA is obtuse, you can use the Law of Cosines. The Law of Cosines states:
ᶜ²-ᵃ²+ᵇ²-2abcos(c)
where a ,b and c, are the side lengths of the triangle opposite to angles, A,B, C respectively. In this case, we are interested in ∠C , which is ∠BCA.
Identify the side lengths:
Let a be the side length opposite to ∠A.
Let b be the side length opposite to ∠B
Let c be the side length opposite to ∠C. (BCA)
Write down the Law of Cosines equation:
ᶜ²- ᵃ² + ᵇ² - 2abcos (c)
Substitute the known values into the equation:
a and b are the side lengths opposite to angles A and B, respectively.
c is the side length opposite to angle C (BCA).
C is the ∠BCA that we want to find.
Solve for C:
cos (C) -( ᵃ²+ᵇ²+ᶜ²/2ab)
Substitute the values of a, b, and c into the equation and calculate the result.
For example, let's say a=5, b=7, and c=8 (these are just example values). You would substitute these into the equation:
c - accros ⁵²- ⁷²- ⁸²/2-5-7)
Calculate the expression to find the measure of ∠BCA.