Chapter 10: Q5. (page 380)

If a side of a square has length $5 c m$ , then a diagonal of the square has length ____ cm.

Short Answer

Expert verified

$5 \sqrt{2}$

Step by step solution

Step 1. Given information.

The given statement is “If a side of a square has length $5 cm$ , then a diagonal of the

square has length $\underline{}$ ”.

Step 2. Formula used.

The length of diagonal of square is $d = \sqrt{2 a}$ .

Step 3. Soluton.

Find the length of diagonal of square

$\begin{array}{l} d = \sqrt{2} a \\ = \sqrt{2} (5) \\ = 5 \sqrt{2} \end{array}$

Therefore, the blank is filled with term $5 \sqrt{2}$ .

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If a side of a square has length $5 c m$ , then a diagonal of the square has length ____ cm.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Formula used.

Step 3. Soluton.

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If a side of a square has length 5cm, then a diagonal of the square has length ____ cm.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Formula used.

Step 3. Soluton.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Applied Mathematics

Decision Maths

Geometry

Calculus

Logic and Functions

Study anywhere. Anytime. Across all devices.

If a side of a square has length $5 c m$ , then a diagonal of the square has length ____ cm.