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 leng…

Question

asked Jun 10, 2021 159k views

2 Answers

Jenissa · Answer 1 · 2021-06-14T18:25:57+0000

Answer:

Perimeter of the triangle = 10.48 unit

Explanation:

From the ΔABC

∠A = 90°

∠B = 25°

∠C = 180-90-25 = 65°

AB = 4 unit

From the sine rule

$(4)/(\sin65) = (AC)/(\sin25) = (BC)/(\sin65)$

$AC = 4 ((\sin25)/(\sin65) )$

AC = 1.86 unit

BC =
$4 (( \sin90)/(\sin60) )$

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