Answer:
see explanation
Explanation:
ratio of sides = 8 : 5 : 7 = 8x : 5x : 7x ( x is a multiplier )
given the perimeter = 480 , then
8x + 5x + 7x = 480
20x = 480 ( divide both sides by 20 )
x = 24
then
8x = 8 × 24 = 192
5x = 5 × 24 = 120
7x = 7 × 24 = 168
the sides of the triangle are 192 inches, 120 inches, 168 inches
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ratio of angles = 8 : 15 : 17 = 8x : 15x : 17x ( x is a multiplier )
the sum of the angles in a triangle = 180° , then
8x + 15x + 17x = 180
40x = 180 ( divide both sides by 40 )
x = 4.5
Then
8x = 8 × 4.5 = 36
15x = 15 × 4.5 = 67.5
17x = 17 × 4.5 = 76.5
the angles in the triangle are 36°, 67.5°, 76.5°