Question

Find the area of the triangle. Base\[ = 16.8m\] and height\[ = 75cm\]

Answer 1

Hint: Here we have to use the basic formula of the area of the triangle to solve this question. We will substitute the value of base and height in the formula and solve it to find the area. A triangle is a closed geometric shape which has 3 sides.

Formula used:
We will use the formula of the area of the triangle\[ = \dfrac{1}{2} \times {\rm{Base}} \times {\rm{Height}}\].

Complete step-by-step answer:
It is given that the base of the triangle is \[16.8m\]and height of the triangle is\[75cm\].

First, we will convert the dimension of the triangle into the common unit as the base is given in meters and height is given in centimeters. So, we will convert the height of the triangle into meters.
We know that \[1m = 100cm\]. Therefore,
Height\[ = 75cm = \dfrac{{75}}{{100}}m = 0.75m\]
Now we will substitute the values of the base and height of the triangle in the formula of the area of the triangle. So, we get
Area of the triangle\[ = \dfrac{1}{2} \times {\rm{Base}} \times {\rm{Height = }}\dfrac{1}{2} \times 16.8 \times 0.75\]
Multiplying the terms, we get
Area of the triangle \[ = 6.3{m^2}\]
Hence, the area of the triangle is \[6.3{m^2}\].

Note: Here, we have to convert all the given data with different units into the common unit because it will make the calculations easy otherwise it may lead to the error in calculation which further gives the wrong answer or it will make the calculation so much lengthy.
It is always better to convert all the data into basic units like grams in case of weights, meters in case of lengths, seconds in case of time related problems. This conversion of the values into the basic units will make the calculations so easy and error free.