Question

8. The sides of a rectangle are 8 cm and 15 cm. Find the length of the diagonal of the rectangle.​

Answer 1

Answer:

17 cm

Step-by-step explanation:

Let diagonal = x centimetres

We will use Pythagoras theorem to find the length of the diagonal because all the angles of a rectangle is = 90°

Pythagoras theorem is :-

Hypotenuse² = Side1² + Side2²

Hypotenuse = diagonal

Side1 = 15 cm

Side2 = 8 cm

Hence the equation will be :

x² = 15² + 8²

x² = 225 + 64

x² = 289

x = √289 = 17

x = 17

Hence, the length of the diagonal of the rectangle is 17 cm

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Answer 2

breadth, b = 8cm

Length, l = 15cm

diagonal, d = ?

ATQ,

d² = l² + b²

d² = 8² + 15²

d² = 64 + 225

d = √289

d = 17

Required diagonal = 17cm