Question

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The sides of triangle ABC are 6, 7, 8 the smallest
angle c then the length of attitude from c is
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Answer 1

Step-by-step explanation:

Given -The sides of triangle ABC are 6, 7, 8 the smallest angle c then the length of attitude from c is

• Given s = a + b + c / 2
•             = 7 + 8 + 6 / 2
•       S = 21 / 2
• Now s – a = 21 / 2 – 7 = 21 – 14 / 2 = 7/2
•        S – b = 21/2 – 8 = 21 – 16 / 2 = 5/2
•        S – c = 21/2 – 6 = 21 – 12 / 2 = 9/2
• Now the area of triangle = √s (s – a) (s – b) (s – c)
•                                                = √21 / 2 x 7/2 x 5/2 x 9/2
•                                                 = 21 / 4 √15
• Since c is the smallest angle, length of the altitude from c to be solved.
•                                                                    Area = 1/2 x b x h
•       21/ 4 √15 = 1/2 x 6 h
•      12 h = 21 √15
•      Or h = 21 / 12 √15
•                                               Or h = 7/4 √15

Reference link will be

https://brainly.in/question/1073272