Three identical right-angled triangles with side lengths of 3 cm 4 cm 5 cm made up a quadrangle
| May 5, 2021 | education
Three identical right-angled triangles with side lengths of 3 cm 4 cm 5 cm made up a quadrangle. find the area of the resulting figure.
If you make a figure of three right-angled triangles, then its area will be equal to the sum of the areas of these triangles. If in a right-angled triangle the sides are 3 cm, 4 cm, 5 cm, then the 5 cm side is the hypotenuse, because it is the largest, and the hypotenuse in a right triangle is longest, and the other two sides, 3 cm and 4 cm, are legs.
The area of a right-angled triangle is half the product of its legs.
S tr. = 1/2 * 3 * 4 = 12/2 = 6 (cm ^ 2)
S f. = 3 * S tr.
S f. = 3 * 6 = 18 (cm ^ 2)
Answer. 18 cm ^ 2.
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