The lateral side of an isosceles triangle is 13 cm, and the height is 5 cm. Find the area and perimeter of the triangle.
| August 6, 2021 | education
In an isosceles triangle, the height dropped to the base is the median and bisector.
Find half of the base, this will be a leg in a right-angled triangle. By T. Pythagoras
a ^ 2 = 13 ^ 2 – 5 ^ 2 = 169 – 25 = 144; a = 12 cm.
The base of an isosceles triangle is 2 * 12 = 24 cm.
The formula for the area of a triangle: S = a * h: 2;
substitute the data into the formula and find the area: S = 24 * 5: 2 = 60 cm2.
Find the perimeter of the triangle: P = 13 + 13 + 24 = 26 + 24 = 50 cm.
Answer: S = 60 cm2, P = 50 cm.
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