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13 votes
A rectangle has a width of 8 units and a

length of 10 units. What is the length of the
diagonal of this rectangle

User Woodpav
by
5.3k points

1 Answer

3 votes

Answer:

12.8 units

Explanation:

Adding a diagonal makes it into 2 of the same right-angled triangles.

In right angled triangles, you can use Pythagoras' therorem which says that a^2+b^2=c^2 where a and b are the shorter sides and c is the diagonal.

This means that 8^2+10^2=diagonal^2=64+100=164

The diagonal is then the square root of 164 which equals 12.806248...

User Clfaster
by
4.7k points