Find the area of a right-angled triangle if the leg is 12 and the hypotenuse is 20.
| April 19, 2021 | education
The area of a right-angled triangle is half the product of its legs.
Find the length of the second leg of a right-angled triangle.
According to the Pythagorean theorem, the sum of the squares of the legs is equal to the square of the hypotenuse.
The length of the second leg is:
√ (20 ^ 2 – 12 ^ 2) = √ (400 – 144) = √256 = 16 cm.
Let’s calculate the area of a right-angled triangle:
1/2 * 12 * 16 = 96 cm2.
Answer: the area of a right-angled triangle is 96 cm2.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.
