To solve this problem, we must first know how to calculate the area of a right triangle. The formula for calculating the area of a right triangle is: area = (right 1× right 2)/2. This formula is a general formula based on the triangle area a×b/2, where a and b are the base and height of the triangle.
In this problem, we have a right triangle with three sides of 5 cm, 4 cm and 3 cm respectively. Among them, 5cm and 4cm are right angles and 3cm is hypotenuse. We can use the above area formula to calculate the area of this triangle.
The calculation process is as follows:
Area = (5cm× 4cm)/2 = 20cm2/2 =10cm2.
So, the area of this right triangle is 10 square centimeter.
Explanation:
First, we need to determine which two sides are right angles. In a right-angled triangle, the side perpendicular to the base is called a right-angled side. In this example, 5cm and 4cm are perpendicular to the bottom, so they are right-angled sides.
Then, we multiply the lengths of two right-angled sides to get the product of the sum and the height. In this example, 5cm× 4cm = 20cm? .
Finally, we divide the product of the base and the height by 2 to get the area of the triangle. In this example, 20 cm? /2= 10 cm？ .
So the area of this right triangle is 10 square centimeter.
We can further expand the explanation of this problem and deepen our understanding from the perspective of spatial perception and problem solving.
From the perspective of spatial perception, this problem involves the area calculation of two-dimensional plane. A right triangle is a two-dimensional shape, consisting of two vertical sides and a hypotenuse. By calculating the product of two vertical sides and dividing by 2, we can get the area of this right triangle. This is a process of "dividing" a two-dimensional shape into smaller two-dimensional segments (rectangles in this case) and calculating their areas.
From the point of view of problem solving, this problem involves how to apply mathematical model (here refers to the formula for calculating the area of right triangle) to solve practical problems. Using this formula, we can accurately calculate the area of this right triangle without measuring its base and height. This method is more accurate and reliable, and is suitable for right-angled triangles of any size.