Question

Find to the nearest degree, the measure of the smaller acute angle of a right triangle whose sides are 7, 24,
and 25.

Answer 1

the smallest angle would be 16.26°, with the other angles being 90° & 73.74°

Answer 2

The nearest degree, the measure of the smaller acute angle of a right triangle whose sides are 7, 24,and 25 is 16.3 degree.

Right angle triangle

A right-angled triangle is a type of triangle that has one of its angles equal to 90 degrees

What are steps to solve this problem?

The steps are as follow:

• Given three sides 7,24,25 which is shown in figure
• To find angle C we will use following trigonometry function:

Cos C = adjacent side to C / hypoteneous

Cos C = BC / AC

Cos C = 24 / 25 = 0.96

C = (Cos)^-1 0.96

C = 16.3 degree

• To find angle A we would using following formula:

Angle A + Angle B + Angle C = 180 because sum of internal angle of triangle is always equal to 180 degree

Angle A + 90 + 16.3 = 180

Angle A = 73.7 degree

So, the nearest degree, the measure of the smaller acute angle of a right triangle whose sides are 7, 24,and 25 will be 16.3 degrees.

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