In a right-angled triangle A and B legs. find C if a = 4√2, b = 7
August 19, 2021 | education
| To solve this task, you need to find the hypotenuse C in a right-angled triangle. Consider the condition of the task and analyze it;
According to the condition of the task, we are given a right-angled triangle, in which two legs are known. leg A is equal;
A = 4 * √2;
Leg B is equal;
B = 7;
To find the hypotenuse, we use the property of a right-angled triangle or the Pythagorean theorem.
In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.
C ^ 2 = A ^ 2 + B ^ 2;
Substitute the values;
C ^ 2 = 16 * 2 + 49;
C ^ 2 = 81;
C = √81;
C = 9.
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