One corner of a right-angled triangle is 24 ° smaller than the other. Find these corners.
July 15, 2021 | education
| From the condition we know that one acute angle of a right-angled triangle is 24 ° less than the other.
In order to find the larger acute angle of a triangle, let’s recall the theorem on the sum of the angles of a triangle.
The angles of a triangle add up to 180 °.
In a right-angled triangle, one angle is 90 °, the second angle is denoted by the variable x, and the third is written as (x – 24).
Let’s compose and solve the equation:
x + x – 24 + 90 = 180;
2x = 180 – 90 + 24;
2x = 114;
x = 114: 2;
x = 57 °;
One of the acute angles is 57 °; and the second 57 ° – 24 ° = 33 °
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