usavage701 usavage701

13-04-2021
Mathematics

contestada

A triangle has sides with lengths of 21 meters, 70 meters, and 73 meters. Is it a right triangle?

Respuesta :

sqdancefan sqdancefan

13-04-2021

9514 1404 393

Answer:

no

Step-by-step explanation:

It is close, but not exactly a right triangle.

If it were a right triangle, we would have ...

21² +70² = 73²

We have instead ...

441 +4900 ≠ 5329

5341 ≠ 5329 . . . . . . . . not a right triangle

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The angle \theta_1θ 1 theta, start subscript, 1, end subscript is located in Quadrant \text{IV}IVstart text, I, V, end text, and \cos(\theta_1)=\dfrac{9}{19