Question

The area of triangle is equal to the area of rectangle whose length and breadth are 20 cm and 15 cm respectively. Calculate the height of the triangle if it's base measures 30 cm

Answer 1

Is it right?????????

Answer 2

Answer:

The height of the triangle is 20 cm.

Step-by-step explanation:

Length of rectangle = 20 cm

Breadth of rectangle =  15 cm

Area of rectangle = $Length \times Breadth$

                              = $20 \times 15$

                              = $300 cm^2$

Area of triangle = $\frac{1}{2} \times Base \times Height$

Since we are given that the base of the given triangle is 30 cm

So, Area of triangle = $\frac{1}{2} \times 30 \times Height$

We are also given that The area of triangle is equal to the area of rectangle

So, $300=\frac{1}{2} \times 30 \times Height$

$600= 30 \times Height$

$\frac{600}{30}= Height$

$20= Height$

Hence the height of the triangle is 20 cm.