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.
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Answered by
262
given.. 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
now,
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
perimeter of triangular field= A+B+C=324
85+154+X=324
239+X=324
so, X= 324-239=85
C=85m
now,
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
Answered by
107
Answer:- Area of triangle is 2772 square metre and height of triangle is 36 m.
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