Question

Choose the correct option:
The area of a triangle is the same as area of the square. If the area of a square is 100 sq cm and the corresponding height of a triangle is 5 cm, then the base of the triangle is_____

8 cm
20 cm
14 cm
40 cm​

Answer 1

required Answer:-

• (D) 40cm

Given:-

• area of traingle = area of the square = 100 cm²
• height of traingle = 5cm

To find:-

• base of this triangle

Formula to be used :-

$\underline{\boxed{\sf Area\:of\:triangle = \dfrac{1}{2}×base×height}}$

Solution:-

$\implies$ $\sf 100 = \dfrac{1}{2}×base×5$

$\implies$ $\sf \dfrac{100×2}{5} = base$

$\implies$ $\sf base = 40cm$

hence, option D is right

More to know

• Area of square :-

$\implies$$\underline{\boxed{\sf area = side²}}$

• area of rectangle:-

$\implies$$\underline{\boxed{\sf area = length×breadth}}$

Answer 2

Answer:

40 cm

Step-by-step explanation:

Area of triangle = Area of square (Given)

1/2×b×h = 100

1/2×b×5 = 100

b= 100×2/5

b= 40