Elitmus
Exam
Numerical Ability
Probability
A square of the longest possible side is drawn inside the triangle ABC with one side of the square lying on side BC. If AB = 13, BC = 21 and AC = 20, find the side of the square.
A.84/11
B.7
C.28/3
D.31/4
Read Solution (Total 5)
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- A. 84/11
s=(13+21+20)/2 = 27
Area of triangle(A)= [27*(27-13)*(27-21)*(27-20)]^(.5) = 126
height of triangle(h)= 2*A / base = 2*126/21 = 12
from, similarity of triangles
h/(h-x) = BC / x where x is side of square
=> 12/(12-x) = 21/x
=> x = 84/11
- 10 years agoHelpfull: Yes(55) No(1)
- a Square contain equal length of side,there is no longest size or shortest size.
he give square side BC=21,this is length of all sides - 10 years agoHelpfull: Yes(1) No(11)
- DEFG SQUARE
triangle ABC and triangle ADE - 10 years agoHelpfull: Yes(1) No(1)
- Let P and Q are the vertices of the square on AB and AC respectively and R and S on side BC.
s=(13+21+20)/2 = 27
Area of triangle(A)= [27*(27-13)*(27-21)*(27-20)]^(.5) = 126
height of triangle(h)= 2*A / base = 2*126/21 = 12
now from, similarity of triangles APQ and ABC
12-X/21=X/12
X=48/11
- 9 years agoHelpfull: Yes(1) No(1)
- @ rakesh
kindly explain h/(h-x) = BC / x where x is side of square,
which 2 triangles you have taken as similar.. - 10 years agoHelpfull: Yes(0) No(3)
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