1.

In an isoceles triangle, the difference between one of the equal sides and the unequal side (longest of the three) is `3//10` of the sum of the equal sides. If the perimeter of the triangle is 90 cm, then find the length of unequal side in centimetresA. 40B. 80C. 25D. 50

Answer» Correct Answer - a
Let the equal side of the triangle be x cm
Given perimeter of the triangle = 90 cm, then the unequal side `= 90 -2x`.
Given that `(90 -2x) - x = (3)/(10) (2x)`
`90 - 3x = (3x)/(5)`
`90 = (3x)/(5) + 3x`
`90 = (18x)/(5)`
`:. X = 25 cm`
`:.` Length of the unequal side `= 90 -2x = 90 -50 = 40 cm`
Hence, the correct option is (a)


Discussion

No Comment Found