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Discussion Topic
For any right triangle, the side lengths of the triangle can be put in the equation a2 + b2 = c2 where a, b, and c are the side lengths. A triangle with the side lengths 3 inches, 4 inches, and 5 inches is a right triangle. Which way(s) can you substitute the values into the equation to make it true? Which variable has to match the longest side length? Why?

Respuesta :

RevyBreeze

Answer/Step-by-step explanation:

Let's use Pythagorean theorem:

Formula : a² + b² = c²

Note that:

a is the long leg of the triangle

b is the short leg of the triangle

c is the hypotenuse

Side lengths Given are; 3 inches, 4 inches, 5 inches of a right triangle.

Hence,

a = 4 inches

b = 3 inches

c = 5 inches

Thus,

4² + 3² = 5²

16 + 9 = 25

25 = 25  [True]

[RevyBreeze]

Let's see

  • a=3
  • b=4
  • c=5

Put values

[tex]\\ \rm\hookrightarrow c^2=a^2+b^2[/tex]

[tex]\\ \rm\hookrightarrow 5^2=4^2+3^2[/tex]

[tex]\\ \rm\hookrightarrow 25=16+9[/tex]

[tex]\\ \rm\hookrightarrow 25=25[/tex]

Verified

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