Elitmus
Exam
Numerical Ability
Geometry
one side of triangle is 50cm and other is 10cm and area given is 150 cm^2. then find the third side of the bermuda triangle?
a)30*(root(2)) c)(root(30))*2 b) root(1860) d)none of these
Read Solution (Total 6)
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- Area of a triangle is given as when the sides are giver as,
(s(s-a)(s-b)(s-c))^1/2, where s= a+b+c/2
Let the third side be x...then,
area = [(60+x)/2(60+x-2x)/2(60+x-100/2)(60+x-20)/2]^1/2
or, [(60+x)/2(60+x-2x)/2(60+x-100/2)(60+x-20)/2]^1/2= 150
now put the value of x from option....
let x= 30*(root 2)
= [(30+15(root 2))(30-15(root 2))(15(root 2)-20(15(root 2)+20)]^1/2
= [(900-450)(450-400)]^1/2
= [450*50]^1/2
= [225*100]^1/2
= 150 and is area of triangle (given). - 9 years agoHelpfull: Yes(10) No(0)
- lets say ABC is a triangle;
s=(50+10+x)/2;
area of triangle ABC=(S(S-50)*(S-10)*(S-X))^1/2=150;
solve it
- 9 years agoHelpfull: Yes(3) No(2)
- lets take ABC as triangle BC=50,AC=10 and AB=?
let AD be the altitude from A to D
1/2*BC*AD=150
1/2*50*AD=150
AD=6
in right triang. ADC AD^2+CD^2=AC^2
CD^2=64
CD=8
CD+BD=AD
8+BD=50
BD=42
so in right triang.ABD AB^2=AD^2+BD^2
=42^2+6^2
1800
AB=sqrt 1800
i think C will be answer in it is 1800 instead of 1860 - 9 years agoHelpfull: Yes(2) No(2)
- area of triangle =1/2 b*h assuming ABC is tringle AB is 10 BC is 50
150=1/2*50*h D is point on height on BC
h=3 cm
now in triangle ABD
AB= 10 AD= 3 then by pythagorus BD= root 91
now in triangle ADC
AD= 3 DC = 50-root 91
so we can calculate AC as AC= root (sqr 9 +sqr (50-root 91)
a is answer
- 9 years agoHelpfull: Yes(1) No(2)
- 30*(root(2))
- 9 years agoHelpfull: Yes(0) No(0)
- one side of triangle=50 cm
other side of triangle =10 cm
let the third side of triangle=x cm
area of triangle =(1/2)*x*10=150
therefore, x=30
and area of triangle=(1/2)*x*50=150
therefore,x=6
then, answer is (d)none of these - 9 years agoHelpfull: Yes(0) No(2)
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