If a triangle has sides of lengths 3 cm, 4 cm, and 5 cm, what is its area? (2021

If a triangle has sides of lengths 3 cm, 4 cm, and 5 cm, what is its area? (2021)

If a triangle has sides of lengths 3 cm, 4 cm, and 5 cm, what is its area? (2021)

Step 1: Identify the lengths of the sides of the triangle. They are 3 cm, 4 cm, and 5 cm.
Step 2: Recognize that this triangle is a right triangle because 3² + 4² = 5² (9 + 16 = 25).
Step 3: Choose one of the shorter sides as the base. We can use the side of length 3 cm as the base.
Step 4: Use the other shorter side as the height. We can use the side of length 4 cm as the height.
Step 5: Use the formula for the area of a triangle: Area = 1/2 × base × height.
Step 6: Substitute the values into the formula: Area = 1/2 × 3 cm × 4 cm.
Step 7: Calculate the area: Area = 1/2 × 12 cm² = 6 cm².

Triangle Area Calculation – The area of a triangle can be calculated using the formula Area = 1/2 × base × height, where the base and height are perpendicular to each other.
Pythagorean Theorem – The triangle with sides 3 cm, 4 cm, and 5 cm is a right triangle, which can also be verified using the Pythagorean theorem (3² + 4² = 5²).