If the area of a triangle is 1176 cm² and base : corresponding

Home » Aptitude » Mensuration » Question

If the area of a triangle is 1176 cm² and base : corresponding altitude is 3 : 4, then the altitude of the triangle is :

Using Rule 1,
Let the base and altitude be 3x and 4x respectively.
∴ According to question,

1	base × altitude = 1176 cm²
2

or,	1	× 3x × 4x = 1176 cm
	2

12x² = 1176 × 2

x² =	1176 × 2
	2

x² = 196
⇒ x = √196 = 14cm.
∴ Altitude of a triangle = 4x = 4 × 14 cm = 56 cm