Question

The angles of a triangle are in the ratio if 2:3:4 then great est angle is

Answer 1

Step-by-step explanation:

A triangle has angles in the ratio 2:3:4. How do I prove that the greatest angle of the triangle is an acute angle?

From geometry we know that the sum of internal angles of a triangle is 180 degrees. With the ratios we can build an equation: 2x+3x+4x=180.

180=2x+3x+4x

180=9x

180/9=x

20=x

Since the largest angle has a ratio of 4, so the smallest angle is 4×20=80 degrees

Additionally the other two angles are 60 and 40 degrees respectively.

The largest is 80° < 90° and thus greatest angle in the triangle is an acute angle.

Answer 2

Answer:

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