the ratio of the equal sides to the base of an isosceles triangle is 3 :1 if the perimeter of the triangle is 28 cm then find its area
Answers
HI DUDE!!!
YOUR ANSWER IS..
GIVEN:-
the ratio of the equal sides to the base in isosceles triangle=3:1
perimeter=28cm
to find
area of triangle
solution
the equal sides=3x
the base=1x
PERIMETER OF TRIANGLE=Two equal sides+base
28cm =3X+3X+1X
28 =7x
x = 4
each equal sides=3x
=3×4
=12cm
base =1x
=1×4
=4cm
we can find area by herons formula
S=half of the perimeter
S=28/2
S=14CM
side A=12,B=12,C=4
HERONS FORMULA=√s(s-a)(s-b)(s-c)
=√14(14-12)(14-12)(14-4)
=√14×2×2×10
by taking LCM
area=√2×7×2×2×2×5
by taking paired numbers out of the root
AREA=2×2√5×7
=4√35
THE AREA OF TRIANGLE =4√35cm²
HOPE THIS HELPS YOU DUDE!!!!!!
Answer:
5789256780826 or8927272818876