If a diagnol of a rectangle is 53 cm nd one side is 28 cm , find the o

1.	If a diagnol of a rectangle is 53 cm nd one side is 28 cm , find the other side. A) 25 cm B) 45 cmC) 45 sq. cm
Answer» Correct Question If a diagonal of a rectangle is 53 cm and one side is 28 cm, FIND the other side. ______________________________ Given The Diagonal of Rectangle = 53 cm One Side = 28 cm ______________________________ To Find The other side. ______________________________ Solution We will USE the Pythagorean Theorem in this question. Pythagorean Theorem ⇒ Base² + Height² = Hypotenuse² Base ⇒ x cm Height ⇒ 28 cm Hypotenuse ⇒ 53 cm So we will solve this equation to find the Base ⇒ x² + (28)² = (53)² Let's solve your equation step-by-step. x² + (28)² = (53)² Step 1: SIMPLIFY the equation. ⇒ x² + (28)² = (53)² ⇒ x² + 784 = 2809 Step 2: Subtract 784 from both sides of the equation. ⇒ x² + 784 - 784 = 2809 - 784 ⇒ x² = 2025 Step 3: Find the square root of 2025. ⇒ √x = √2025 $\begin{array}{r \| l} 3 & 2025 \\ \cline{2-2} 3&675 \\ \cline{2-2} 3 &225 \\ \cline{2-2} 3& 75 \\ \cline{2-2}5 & 25\\ \cline{2-2} & 5\\ \end{array}$ 2025 = 3×3×3×3×5×5 2025 = (3×3) × (3×3) × (5×5) √2025 = 3 × 3 × 5 √2025 = 45 ⇒ x = 45 ∴ The other side is (B) 45 cm. ______________________________

If a diagnol of a rectangle is 53 cm nd one side is 28 cm , find the other side. A) 25 cm B) 45 cmC) 45 sq. cm

Answer»

Correct Question

If a diagonal of a rectangle is 53 cm and one side is 28 cm, FIND the other side.

______________________________

Given

The Diagonal of Rectangle = 53 cm

One Side = 28 cm

______________________________

To Find

The other side.

______________________________

Solution

We will USE the Pythagorean Theorem in this question.

Pythagorean Theorem ⇒ Base² + Height² = Hypotenuse²

Base ⇒ x cm

Height ⇒ 28 cm

Hypotenuse ⇒ 53 cm

So we will solve this equation to find the Base ⇒ x² + (28)² = (53)²

Let's solve your equation step-by-step.

x² + (28)² = (53)²

Step 1: SIMPLIFY the equation.

⇒ x² + (28)² = (53)²

⇒ x² + 784 = 2809

Step 2: Subtract 784 from both sides of the equation.

⇒ x² + 784 - 784 = 2809 - 784

⇒ x² = 2025

Step 3: Find the square root of 2025.

⇒ √x = √2025

$\begin{array}{r | l} 3 & 2025 \\ \cline{2-2} 3&675 \\ \cline{2-2} 3 &225 \\ \cline{2-2} 3& 75 \\ \cline{2-2}5 & 25\\ \cline{2-2} & 5\\ \end{array}$

2025 = 3×3×3×3×5×5

2025 = (3×3) × (3×3) × (5×5)

√2025 = 3 × 3 × 5

√2025 = 45

⇒ x = 45

∴ The other side is (B) 45 cm.

______________________________