ccrawf2932
Answered

Westonci.ca is the premier destination for reliable answers to your questions, provided by a community of experts. Join our Q&A platform and get accurate answers to all your questions from professionals across multiple disciplines. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

50 POINTS AND BRAINLIESTIF I CAN thank you
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?

Sagot :

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

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.