Question

The area of a traingle is 30 sq.cm .Find its base and altitude if the altitude exceeds the base by 7cm.

Answer 1

Step-by-step explanation:

let let the length of the base = p

As the base exceed the base by 7 cm.

then, length of the altitude = (p + 7)

Now area of triangle = 1/2 * altitude * base

given, area of triangle 30 sq.cm

so, 30cm² = 1/2 * ( p + 7) * p

→ 30 * 2 = p² + 7p

→ 60= p² + 7p

→p² + 7p - 60 = 0

→p² + 12p - 5p - 60 = 0

→p ( p + 12p ) - 5(p + 12 ) = 0

→

≈» (p + 12) ( p + 12) = 0

p => 5, -12

but length can cant be negative so p ≠ -12

altitudes => 12 base => 5