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4. leg a: ? m leg b: 3 m b hypotenuse c: 6 m​

4. leg a: ? m leg b: 3 m b hypotenuse c: 6 m​-example-1
User Kennesha
by
7.9k points

2 Answers

9 votes

Answer:

The length of leg a is 5 m.

Step-by-step explanation:

As per given question we have provided that :


  • \pink\star Leg a: ? m

  • \pink\star Leg b: 3 m

  • \pink\star Hypotenuse c: 6 m

Here's the required formula to find the missing side of triangle :


{\longrightarrow{\pmb{\sf{{(a)}^(2) + {(b)}^(2) = {(c)}^(2)}}}}


  • \purple\star a = ?

  • \purple\star b = 3 m

  • \purple\star c = 6 m

Substituting all the given values in the formula to find the third side of triangle :


\begin{gathered} \qquad{\implies{\sf{{(a)}^(2) + {(b)}^(2) = {(c)}^(2)}}}\\\\\qquad{\implies{\sf{{(a)}^(2) + {(3)}^(2) = {(6)}^(2)}}}\\\\\qquad{\implies{\sf{{(a)}^(2) + (3 * 3) = (6 * 6)}}}\\\\\qquad{\implies{\sf{{(a)}^(2) + (9) = (36)}}}\\\\\qquad{\implies{\sf{{(a)}^(2) + 9 = 36}}}\\\\\qquad{\implies{\sf{{(a)}^(2) = 36 - 9}}} \\\\\qquad{\implies{\sf{{(a)}^(2) = 25}}}\\\\\qquad{\implies{\sf{a = √(25)}}}\\\\\qquad{\implies{\sf{\underline{\underline{a = 5 \: m}}}}}\end{gathered}

Hence, the value of a is 5 m.


\rule{300}{2.5}

User Mikiko
by
8.8k points
8 votes

Answer:

a = 5 m

Explanation:

use
a^2+b^2+c^2 :


a^2+3^2=6^2\\ a^2+9=36\\ a^2=36-9\\ a^2=25\\ a=√(25) \\ a=5

User Diralik
by
8.2k points

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