A right triangle with side a being 7 and the hypotenuse is 8. Find the measure of the missing side length. Round your answer to the nearest tenth.

Respuesta :

Answer:

4

Step-by-step explanation:

use the Pythagoras' theorem

formula for an ABC triangle( right angled)

AB is height

BC is hypotenuse

CA is length

[tex]BC^{2}[/tex] = [tex]AB^{2}[/tex] + [tex]CA^{2}[/tex]

in your case

AB is 7

BC is 8

CA is unknown so we write x

[tex]8^{2}[/tex]=[tex]7^{2}[/tex]+[tex]x^{2}[/tex]

64=49+[tex]x^{2}[/tex]

64-49=[tex]x^{2}[/tex]

15=[tex]x^{2}[/tex]

[tex]\sqrt{15}[/tex] =x

3.87=x

4=x