One of the legs of a right-angled triangle is 8 cm, which is equal to the other leg if it is 3 times less than the hypotenuse.
August 29, 2021 | education|
1. Vertices of the triangle – А, В, С. А = 90 °. AB = 8 centimeters.
2. Take the length of the AC leg as x. The length of the BC hypotenuse is 3x.
3. Let’s compose the equation using the formula of the Pythagorean theorem:
9x² = х² + 64;
8x² = 64;
x² = 8;
x = 4√2 centimeters.
AC = 4√2 centimeters.
Answer: the AC leg is 4√2 centimeters.
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