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

Find the length of the third side to the nearest tenth. 8 5-example-1

1 Answer

6 votes

Answer:

The length of third side is: 6.3

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


√(x^2) = √(39)\\x = 6.24499

Rounding off to the nearest 10th

Base = 6.3

Hence,

The length of third side is: 6.3

User Tomasz Linkowski
by
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