3 A kitchen garden is triangular in shape with sides 6m, 8m, 10m Its owner wants to divide - Maths - Surface Areas and Volumes

Question

3 A kitchen garden is triangular in shape with sides 6m, 8m, 10m
Its owner wants to divide her
field into four congruent triangles to grow four different types of
flowers on them Find the:
i) maximum dimensions of the congruent triangles in which the field
can be divided
ii) area of each triangle

Josepaul Paulachan · Accepted Answer

Dear StudentGive Sides of triangle as 6m,8m,10mArea of triangular garden = s(s-a)(s-b)(s-c)       , s=a+b+c2s=6+8+102 =12now area= 12(12-6)(12-8)(12-10)                      = 12×6×4×2  =576=24cm2Given owner wants to divide the triangle into 4 congruent triangles 
the maximum dimension is possible when the triangle is divided into equilateral triangle
therefore area of one equilateral triangle =244=6cm2dimension of equilateral triangle =aarea of triangle =34a26=34a224=3a2243=a2a=13
85 cmRegards