The hypotenuse of an isosceles triangle is 12√2. find the leg find the area.
February 23, 2021 | education
| An isosceles triangle is a triangle whose two sides are equal. These sides are called sides. If an isosceles triangle is right-angled, then its legs are lateral sides and, accordingly, are equal. Knowing the hypotenuse of a triangle, we find the legs according to the Pythagorean theorem: In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the legs, a² + b² = c².
Since the legs are equal, a = b, we have a² + a² = c².
2а² = с²;
a² = c² / 2;
a² = (12√2) ² / 2 = (144 * 2) / 2 = 144;
a = √144 = 12.
Find the area of the triangle. The area of a right-angled triangle is half the product of its legs. S = av / 2.
Since a = b, then S = a² / 2.
S = 12² / 2 = 144/2 = 72.
Answer. The leg is 12. The area is 72.
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.