Find the hypotenuse of a right-angled triangle. it is known that the legs are equal to 30cm.

| June 29, 2021 | education

1. To solve the problem, we are given the parameters:

– right triangle;

– legs of 30 cm.

This is enough to find the hypotenuse.

2. Recall the Pythagorean theorem, or rather its mathematical formula:

c ^ 2 = a ^ 2 + b ^ 2, where c is the hypotenuse, a and b are legs.

3. Substitute the parameters known to us into this formula, and find the value of the hypotenuse:

c ^ 2 = 30 ^ 2 + 30 ^ 2.

c = √ (30 ^ 2 + 30 ^ 2) = √ (900 + 900) = √1800 = 30√2.

4. We get that the hypotenuse in a triangle with 30 cm legs will be equal to 30√2 cm.

Answer: The hypotenuse is 30√2.

1. To solve the problem, we are given the parameters:

– right triangle;

– legs of 30 cm.

This is enough to find the hypotenuse.

2. Recall the Pythagorean theorem, or rather its mathematical formula:

c ^ 2 = a ^ 2 + b ^ 2, where c is the hypotenuse, a and b are legs.

3. Substitute the parameters known to us into this formula, and find the value of the hypotenuse:

c ^ 2 = 30 ^ 2 + 30 ^ 2.

c = √ (30 ^ 2 + 30 ^ 2) = √ (900 + 900) = √1800 = 30√2.

4. We get that the hypotenuse in a triangle with 30 cm legs will be equal to 30√2 cm.

Answer: The hypotenuse is 30√2.



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