Question

If angle B measures 25°, what is the approximate perimeter of the triangle below? A right triangle is shown. Angle A is 90 degrees and angle B is 25 degrees. Side A B has a length of 4.

Answer 1

Answer:

Perimeter of the triangle = 10.48 unit

Step-by-step explanation:

From the ΔABC

∠A = 90°

∠B = 25°

∠C = 180-90-25 = 65°

AB = 4 unit

From the sine rule

$\frac{4}{\sin65} = \frac{AC}{\sin25} = \frac{BC}{\sin65}$

$AC = 4 (\frac{\sin25}{\sin65} )$

AC = 1.86 unit

BC = $4 (\frac{ \sin90}{\sin60} )$

BC = 4.62 unit

Perimeter of the triangle = AB + BC + CA

Perimeter of the triangle = 4 + 4.62 + 1.86

Perimeter of the triangle = 10.48 unit