# Find the hypotenuse and acute angles of a right-angled triangle if its legs are 20 cm and 21 cm.

August 23, 2021 | education

| Let us find out how many centimeters the length of the hypotenuse will be determined if from the condition of the problem we know that the lengths of the legs correspond to 20 and 21 centimeters:

√ (20 ^ 2 + 21 ^ 2) = √ (400 + 441) = √841 = 29.

Determine what will be the sine of the angle that is opposite the side, which is 20 centimeters:

sin = 20/29 ≈ 0.69;

Let’s look at the table and this corresponds to an angle of about 44 °.

Let’s determine what the second acute angle of the triangle will equal:

90 – 44 = 46.

Answer: Hypotenuse 29, angles 44 ° and 46 °.

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