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I need help with this.

I need help with this.-example-1
User NuSkooler
by
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2 Answers

6 votes

Answer:

12 mm

Explanation:

Use Pyth Theor

9^2 + b^2 = 15^2

81 + b^2 = 225

b^2 = 144

sqrt 144 = 12

b = 12

User Vasilevich
by
4.8k points
9 votes

Answer:

The length of b is 12 mm.

Step-by-step explanation:

Solution :

Here, we have given that the two sides of triangle are 9 mm and 15 mm.

Finding the third side of triangle by pythagoras theorem formula :


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


  • \pink\star a = 9 mm

  • \pink\star c = 15 mm

  • \pink\star b = ?

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


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


{\longrightarrow{\sf{{(15)}^(2) = {(9)}^(2) + {(b)}^(2)}}}


{\longrightarrow{\sf{{(15 * 15)}= {(9 * 9)}+ {(b)}^(2)}}}


{\longrightarrow{\sf{{(225)}= {(81)}+ {(b)}^(2)}}}


{\longrightarrow{\sf{225= 81+ {(b)}^(2)}}}


{\longrightarrow{\sf{{(b)}^(2) = 225 - 81}}}


{\longrightarrow{\sf{{(b)}^(2) = 144}}}


{\longrightarrow{\sf{b = √(144) }}}


{\longrightarrow{\sf{b = 12}}}


\star{\underline{\boxed{\sf{\purple{b = 12 \: mm}}}}}

Hence, the length of b is 12 mm.


\rule{300}{2.5}

User Joshtkling
by
5.5k points