Question

the acute angles of a right triangle are in the ration 2 : 3 find the angles of the triangle​

Answer 1

Answer:

36° , 54° , 90°

Step-by-step explanation:

Right triangle has one side = 90°

the ratio of other angles = 2:3

Let common factor of the ratio be x

∴2x and 3x

90+3x+2x = 180 (∵angle sum property of triangle)

90+5x = 180

5x = 180-90

5x = 90

x = $\frac{90}{5} = 18$

So, 2x = 2×18 = 36°

      3x = 3×18 = 54°

And the third angle we know is 90°