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Westkost [7]
3 years ago
9

The sides of a rectangle are 8cm and 6cm. What is the length of the diagonal. 12cm 10cm 9cm 7cm

Mathematics
2 answers:
tatiyna3 years ago
5 0

Answer:

10 cm

Step-by-step explanation:

The diagonal d divides the rectangle into 2 right triangles with legs 8 and 6 and hypotenuse d

Using Pythagoras' identity in one of the right triangles, then

d² = 8² + 6² = 64 + 36 = 100 ( take square root of both sides )

d = \sqrt{100} = 10 cm

Neko [114]3 years ago
5 0

Answer:

\huge\boxed{c = 10\ cm}

Step-by-step explanation:

<u><em>Using Pythagorean Theorem</em></u>

c^2 = a^2 + b^2

Where c is the length of diagonal, a and b are the length of the rest 2 sides

=> c^2 = 8^2+6^2

=> c^2 = 64 + 26

=> c^2 = 100

Taking sqrt on both sides

=> c = 10 cm

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