Question

The ratio of the sides of a triangular shaped park is 3 : 4 : 5 and the perimeter of the park is 170 m. What is the perpendicular distance in meters from the vertex, opposite to the largest side of the park?

A) 2400 √84 B) 2200 √84 C) 1400 √84 D) None

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

option (d) : none of these

Step-by-step explanation:

side of the triangle in the ratio of 3:4:5

let the side of triangle = 3x ; 4x ; and 5x

perimeter of triangle = 170 m

3x + 4x + 5x = 170

12x = 170

x =  170/12 = 14.2 m

side of triangle a =3x = 3 *14.2 = 42.6 m

                       c =  4x = 4*14.2 = 56.8 m

                       b =  5x = 5 *14.2 = 71 m

area of triangle = 1/2 *b *h = √[s (s-a)(s-b)(s-c)]      [s=( 42.6+56.8+71)/2= 85 m]

= 1/2 * 71 *h = √[85(85-42.6)(85 - 71)(85 - 56.8)]

=  1/2 *71*h  =√[85(42.4)(14)(28.2)]

= h = (2*1192.84)/71 = 33.6 m