Question

*Adjacent sides of a rectangle are 12 cm and 5 cm then the length of its diagonal is ______cm.*

1️⃣ 12
2️⃣ 13
3️⃣ 5
4️⃣ 16​

Answer 1

Given : Adjacent sides of a rectangle are 12 cm and 5 cm

To Find :  length of its diagonal

1️⃣ 12

2️⃣ 13

3️⃣ 5

4️⃣ 16​

Solution:

Adjacent sides of a rectangle and diagonal forms a right angle triangle

Pythagoras' theorem: square on the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two perpendicular sides.

5²  + 12²  = Diagonal²

=> 25 + 144 = Diagonal²

=> 169 = Diagonal²

=> 13²  = Diagonal²

=> 13 = Diagonal

Hence diagonal is _13_____cm.*

Adjacent sides of a rectangle are 12 cm and 5 cm then the length of its diagonal is __13_cm

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Answer 2

Given :- Adjacent sides of a rectangle are 12 cm and 5 cm then the length of its diagonal is ______cm.

1) 12

2) 13

3) 5

4) 16

Answer :-

As we know that,

• Adjacent sides of a rectangle are length and breadth .
• Angles between adjacent sides of a rectangle is equal to 90° .

so, using pythagoras theorem in right angled ∆, we get,

→ Length² + Breadth² = Diagonal²

→ 12² + 5² = Diagonal²

→ 144 + 25 = Diagonal²

→ Diagonal² = 169

→ Diagonal² = 13²

→ Diagonal = 13 cm. (2) (Ans.)

Hence, the length of diagonal of rectangle is 13 cm.

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