One of the acute corners of a right-angled triangle is 23 degrees smaller than the other. find these corners.
July 1, 2021 | education
| We draw up an equation in which we write one of the acute corners of a right-angled triangle as x °.
Since it is 23 ° less than the second acute angle, then its value will be: x + 23 °.
Since the sum of all the angles of any triangle is 180 °, and the value of the right angle is 90 °, we get the following equation:
x + x + 23 + 90 = 180.
2 * x = 67.
x = 67/2 = 33.5 ° (first angle).
x + 23 = 33.5 + 23 = 56.5 ° (second angle).
Answer: The angles of the triangle are 33.5 °, 56.5 ° and 90 °.
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