Question

The sides of a rectangle are 80 cm and 60 cm. What is the length of the diagonal? Use Pythagoras theorem


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Answer 1

Answer:

acc to py thogorus theorem

let a=80cm b=60cm

a²+b²=c²

c²=10000cm

c=100cm

Answer 2

Answer:

The length of the diagonal is 100 cm.

Step-by-step explanation:

• To solve the given problem, we should know about the Pythagoras theorem.
• The square of the longest side or the hypotenuse of the right-angle triangle gives the sum of the squares of the other two sides (base and height) of the triangle.
• Therefore, $c^2=a^2+b^2$. Here, c is the longest side and a and b are the other two sides.

Given:

The lengths of the rectangle are 80 cm and 60 cm, respectively. First, construct a rectangle using these two measurements.

• Step 1: Construct a rectangle and draw a diagonal

The constructed rectangle ABCD image is attached. It forms a right-angle triangle ABC when we draw the diagonal BC.

The one side with 60 cm is "a" and the other side with 80 cm is "b" of the right angle triangle. And c is the hypotenuse.

• Step 2: Solve for "c" using Pythagoras theorem:

By Pythagoras theorem,

$\begin{aligned}c^2&=a^2+b^2\\&=(60)^2+(80)^2\\c&=\sqrt{(60)^2+(80)^2}\\&=\sqrt{10000} \\ c&=100\;cm\end{aligned}$

Therefore, the length of the diagonal is 100 cm.

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