Answer
Step-by-step explanation
We are required to find the perimeter and the area of each figure in the diagram.
First of, we are having a right angle triangle with base length = 4 units, height = 3 units.
Perimeter of a triangle = sum of all its 3 exterior sides
We hae two out of 3 dimensions for this triangle. To find the dimension of the last side of the triangle, we will use the Pythagoras theorem.
The Pythagorean Theorem is used for right angled triangle, that is, triangles that have one of their angles equal to 90 degrees.
The side of the triangle that is directly opposite the right angle or 90 degrees is called the hypotenuse. It is normally the longest side of the right angle triangle.
The Pythagoras theorem thus states that the sum of the squares of each of the respective other sides of a right angled triangle is equal to the square of the hypotenuse. In mathematical terms, if the two other sides are a and b respectively,
a² + b² = (hyp)²
For this triangle,
a = 3
b = 4
hyp = ?
3² + 4² = (hyp)²
hyp² = 9 + 16 = 25
hyp = 5 units.
Perimeter of this triangle = 3 + 4 + 5 = 12 units
Area of the triangle = ½ (bh) = ½ (4)(3) = 6 square units.
For the secong image, this is evidently a square.