Question

The area of a triangle is equal to that of a square of side length 40 cm .find the side of the traingle whose croesponding altitude is 64 cm

Answer 1

Answer:

The Side of the triangle is 50 cm.

Step-by-step explanation:

Given:

Area of the triangle  = Area of the Square of side 40 cm.

Altitude(Height) of the triangle is  = 64 cm.

Required to Find:

Side of the Triangle.

Procedure:

According to the problem,

Area of the triangle = Area of the Square

$\frac{1}{2} * base * height = side^{2}$

$\frac{1}{2} * base* 64 = 40*40$

$base = \frac{2*40*40}{64}$

base = 50 cm

∴The side of the triangle whose corresponding altitude is 64 cm is 50 cm.