The acute angles of a right angle triangle are in the ratio 4:5,then find the acute angle.
they add to 90 degrees, so
4x+5x = 90
find x, and then the angles are 4x and 5x
I think x value 10
that is correct.
4x+5x+90=180
9x=90
X=10
1) 4×40
2) 5×50
To find the acute angles of a right triangle, knowing that they are in the ratio 4:5, we need to use some trigonometric ratios.
Let's assume that the acute angles of the right triangle are 4x and 5x. Here, x is a constant.
Since we know that the sum of all the angles in a triangle is 180 degrees, we can write the equation:
4x + 5x + 90 = 180
Combining like terms, we have:
9x + 90 = 180
Subtracting 90 from both sides, we get:
9x = 90
Dividing both sides by 9, we get:
x = 10
So, one angle is 4x = 4 * 10 = 40 degrees, and the other angle is 5x = 5 * 10 = 50 degrees.
Therefore, in the given right triangle, the acute angles are 40 degrees and 50 degrees.