Question

Solve for the missing side. round to the nearest 10th.

Answer 1

Answer :

• 6.7 mm

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Explanation :

• This is Right Angled Trian1gle.

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Solution :

• We'll solve this using the Pythagorean Theorem.

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Where,

• VW (9 mm) is the Hypotenuse.

• UV (6 mm) is the Base.

• UW is the Perpendicular .

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We know that,

${\longrightarrow \pmb{\mathbb {\qquad (UV) {}^{2} + (UW) {}^{2} =( VW) {}^{2} }}}$

Now, we will substitute the given values in the formula :

${\longrightarrow \pmb{\sf {\qquad (6) {}^{2} + (UW) {}^{2} =( 9) {}^{2} }}}$

We know that, (6)² = 36 and (9)² = 81. So,

${\longrightarrow \pmb{\sf {\qquad 36 + (UW) {}^{2} =81}}}$

Now, transposing 36 to the other side we get :

${\longrightarrow \pmb{\sf {\qquad (UW) {}^{2} =81 - 36 }}}$

${\longrightarrow \pmb{\sf {\qquad (UW) {}^{2} = 45}}}$

Now, we'll take the square root of both sides to remove the square from UW :

${\longrightarrow \pmb{\sf {\qquad \sqrt{(UW) {}^{2}} = \sqrt{ 45}}}}$

When we take the square root of (UW)² , it becomes UW,

${\longrightarrow \pmb{\sf {\qquad UW = \sqrt{45}}}}$

We know that, square root of 45 is 6.708.

${\longrightarrow \pmb{\sf {\qquad UW \approx6.708}}}$

So,

• The measure of the missing side (UW) is 6.7 mm (Rounded to nearest tenth)

Answer 2

Answer: 27

Step-by-step explanation:

so 6 times 9 is 54/ 2 is 27 so 27 is your answer