Latest Others Aptitude Question SOLUTION: ABC is an isosceles triangle with AB=AC and BC=48. DEFG is a square inscribed in triangle ABC such that vertices D and E lie on AB and AC respectively, while vertices F and G lie o

• Placement Papers
• /
• Others

Others Question Papers:

(#M40013814) OTHERS question Geometry Keep an EYE

ABC is an isosceles triangle with AB=AC and BC=48. DEFG is a square inscribed in triangle ABC such that vertices D and E lie on AB and AC respectively, while vertices F and G lie on BC. If [ADE]=24, what is the side length of the square DEFG?

Asked In Others Iqbal Reyaz (11 years ago)

Unsolved Read Solution (3)

Is this Puzzle helpful?   (2)   (1) Submit Your Solution

Read Solution (3) :

Karan  (11 years ago)

Draw prependicular from A to AC meeting BC at M and DE at L.
Triangles ALE and AMC are similar. DL=LE= 1/2 of side of square
MC= 48/2=24 as ABC is isosceles triangle.
If side of square is 2x, then LE=x and AL= 2*24/x= 48/x, AM= ax+48/x

now
AL/AM = LE/MC = x/24
putting values and solving for x,
we get
x= 6 units
side of square = 2x=2*6=12 units

Is this solution Helpfull? Yes (4) | No   

Durgesh tiwary  (11 years ago)

side of ADC is 10,8,6 (area is 24) now DE= 12 (AO is perpendicular to DE )
hence DE(Sides of Square)= 2*DO = 2*6=12 Ans

Is this solution Helpfull? Yes (2) | No (1)  

Vinay Sipani   (11 years ago)

is 12 the right answer ?

Is this solution Helpfull? Yes (1) | No (1)  

Please Login to Read Solution.