find the area of right traingle of base 1.2m and hypotenuse 3.7.
Since we are given the hypotenuse and one leg, we can find the other leg using Pythagoras theorem.
The area is then the product of the two legs divided by two.
Height (of the other leg)
=√(3.7²-1.2²)=3.5
Base (given)=1.2 m
So you have all information to find the area of the right triangle with legs 1.2 and 3.5m.
2.1m square
To find the area of a right triangle, you need to know the length of both the base and the height. However, in the given information, the length of the base and the hypotenuse are provided. We need to find the height of the triangle to calculate the area.
For a right triangle, we can apply the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the hypotenuse is 3.7m, and the base is 1.2m. Let's call the height h.
Using the Pythagorean theorem, we have:
3.7^2 = 1.2^2 + h^2
Simplifying this equation:
13.69 = 1.44 + h^2
To isolate h^2, we subtract 1.44 from both sides of the equation:
h^2 = 13.69 - 1.44
h^2 = 12.25
To find the height, we take the square root of both sides:
h = √12.25
h = 3.5
Now that we have the base (1.2m) and the height (3.5m), we can calculate the area of the right triangle by using the formula:
Area = 0.5 * base * height
Area = 0.5 * 1.2 * 3.5
Area = 2.1 square meters
Therefore, the area of the right triangle with a base of 1.2m and a hypotenuse of 3.7m is 2.1 square meters.