Question

Find the length of the missing side. 1) 52 cm 2) 42cm 3) 25 cm 4) 48 cm

Answer 1

Answer:

52 cm

Step-by-step explanation:

Use the pythagorean theorem to solve for missing sides in a right triangle.

20²+48²= missing side

20²+48²=2704

Take the square root of 2704 to get the missing side.

$\sqrt{2704 } = 52$

Answer 2

Answer :

• 52 cm

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Explanation :

• This is Right Angled Triangle.

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Solution :

We'll solve this using the Pythagorean Theorem.

where,

• AB (20 cm) is the perpendicular

• BC (48 cm) is the Base.

• AC is the Hypotenuse.

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We know that,

${\longrightarrow \bf \qquad (AC) {}^{2} = (AB) {}^{2} +( BC) {}^{2} }$

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

${\longrightarrow \sf \qquad (AC) {}^{2} = (20) {}^{2} +( 48) {}^{2} }$

We know that, (20)² = 400 and (48)² = 2304. So,

${\longrightarrow \sf \qquad (AC) {}^{2} = 400 + 2304 }$

Now, adding 400 and 2304 we get :

${\longrightarrow \sf \qquad (AC) {}^{2} = 2704 }$

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

${\longrightarrow \sf \qquad \sqrt{ (AC) {}^{2}} = \sqrt{2704} }$

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

${\longrightarrow \sf \qquad AC = \sqrt{2704} }$

We know that, square root of 2704 is 52 .

${\longrightarrow \sf{\pmb{ \qquad AC = 52 }}}$

So,

• The measure of the missing side (AC) is 52 cm .