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Tell whether each triangle with the given side lengths is a right triangle. Explain your answer by showing your solution when the side lengths are applied to the Pythagorean Theorem. 11cm, 60cm 61cm Answer: Solution:

Tell whether each triangle with the given side lengths is a right triangle Explain your answer by showing your solution when the side lengths are applied to the class=

Respuesta :

Answer: yes

Solution: 3721 = 3721

Explanation:

To determine if the lengths of a triangle is a right angle, it must satisfy the pythagoras' theorem:

Hypotenuse² = opposite² + adjacent²

hypotenuse = longest side = 61 cm

In this case, any of the other two sides can be represented by adjacent and opposite

opposite = 60cm

adjacent = 11 cm

Inserting into the formula:

61² = 60² + 11²

3721 = 3600 + 121

3721 = 3721

Since the left hand side of the equation is equal to the right hand side of the equation, the side lengths given is a right triangle.

Answer: yes

Solution: 3721 = 3721

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