Question

Find the length of the missing side.

1) 52 cm
2) 42cm
3) 25 cm
4) 48 cm

Answer 1

52 cm

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.

`√(2704 ) = 52`

Answer 2

• 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)} = √(2704) } \\ \\`

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

`{\longrightarrow \sf \qquad AC = √(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 .