In a right-angled triangle ABC, angle C = 90 degrees AB = 13cm, BC = 12cm.
| September 2, 2021 | education
In a right-angled triangle ABC, angle C = 90 degrees AB = 13cm, BC = 12cm. Find the area of this triangle and its perimeter.
By the Pythagorean theorem, we determine the length of the leg AC.
AC ^ 2 = AB ^ 2 – BC ^ 2 = 169 – 144 = 25.
AC = 5 cm.
Let’s define the perimeter of the triangle ABC.
Ravs = AB + BC + AC = 13 + 12 + 5 = 30 cm.
Determine the area of the triangle ABC.
Savs = AC * BC / 2 = 5 * 12/2 = 30 cm2.
Answer: The area of the triangle is 30 cm2, the perimeter is 30 cm.
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