Two sides of a triangular field are 85m and 154m in length and it 39 s perimeter is 324m Find the ar...........

Quantitative Aptitude ( CCS) Mensuration 2D

Two sides of a triangular field are 85m and 154m in length and it's perimeter is 324m. Find the area of the field and the length of the perpendicular from the opposite vertex on the side measuring 154m.

2772

3762

2675

None of these

छोटे Courses बड़े Results

Master Mensuration 2D

Prepare through Micro-courses

Try Now

Explanation:

Two side of a triangular field is A=85m and B=154m so C=let X
perimeter of triangular field= A+B+C=324
85+154+X=324
239+X=324
so, X= 324-239=85
C=85m
find the are of triangular field by using herons formula, so
semi perimeter=A+B+C/2=85+154+85/2=324/2
so Sp= 162
under root√s(s-a)(s-b)(s-c)
under root√162(162-85)(162-154)(162-85)
under root√162×77×8×77
now area =2772m

Hence, option 1 is the correct answer.