1. The distance from Mumbai to Delhi is about 1400 ___ (km/kg/l). 2. Geeta had Rs 368 in her purse; she bought a bag for Rs 123. How much money is left in her purse? 3. How many tr... 1. The distance from Mumbai to Delhi is about 1400 ___ (km/kg/l). 2. Geeta had Rs 368 in her purse; she bought a bag for Rs 123. How much money is left in her purse? 3. How many triangles are there in the following figure? Read more

Steps to Solve

1. Filling in the Blank for Distance

The distance from Mumbai to Delhi is commonly known to be about 1400 kilometers (km). Therefore, the sentence will be filled as:
"The distance from Mumbai to Delhi is about 1400 km."

2. Calculating Money Left

To find out how much money Geeta has left after buying the bag, subtract the cost of the bag from the total money she had.

First, note Geeta's total money:
Total Money = ₹ 368

Next, subtract the cost of the bag:
Cost of the Bag = ₹ 123

The remaining money can be calculated as:
$$ \text{Remaining Money} = 368 - 123 $$

Now, calculating:
$$ \text{Remaining Money} = 245 $$

So, Geeta has ₹ 245 left in her purse.

3. Counting Triangles in the Figure

To find the total number of triangles in the given figure, count the individual triangles and the larger triangles formed by smaller ones.

• Small triangles (internal): Count all small triangles (1st layer).
• Medium triangles (formed by smaller ones): Count triangles formed by combining two small triangles (2nd layer).
• Large triangles (the whole figure): Count the larger triangle (3rd layer).

On careful examination, the triangle counts are as follows:

• Small triangles: 9
• Medium triangles: 4
• Large triangle: 1

Totaling the triangles:
$$ 9 + 4 + 1 = 14 $$

So, there are 14 triangles in the figure.