the base of a triangle is three fourth the length of the corresponding altitude if the altitude is increased by 3 cm and the base is increased by 2 cm area of the triangle remains the same find the base and altitude of the train
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Answer:
the the is 24 ok
Step-by-step explanation:
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Step-by-step explanation:
let length of altitude be x,
And base of triangle be y;
given that y=3/4x
Area of triangle=1/2×base×altitude
=1/2×y×x
=1/2×3/4x×x
=3/8x^2
now;
base=y+2=3/4x+2=3x+8/4
altitude=x+3
area=1/2×base×altitude
=1/2×(3x+8)/4×(x+3) =3/8x^2
=(3x+8)(x+3)/8=3/8x^2
=3x^2+9x+8x+24=3x^2
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