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3 years ago

Find the length of the third side to the nearest tenth. 8 5

Mathematics

1 answer:

brilliants [131]3 years ago

6 0

Answer:

The length of third side is: 6.3

Step-by-step explanation:

Given triangle is a right triangle where

Base = ?

Perpendicular = 5

Hypotenuse = 8

Let x be the base

As it is a right-angled triangle, Pythagoras theorem can be used to find the third side

$Hypotenuse^2 = Base^2 + Perpendicular^2$

Putting the known values

$(8)^2 = x^2 + (5)^2\\x^2 = (8)^2-(5)^2\\x^2 = 64-25\\x^2 = 39\\$

Taking square root on both sides

$\sqrt{x^2} = \sqrt{39}\\x = 6.24499$

Rounding off to the nearest 10th

Base = 6.3

Hence,

The length of third side is: 6.3

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