The hypotenuse of a 45°-45°-90° triangle measures 4 inches. What is the length of each leg?

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28-02-2022
Mathematics

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The hypotenuse of a 45°-45°-90° triangle measures 4 inches. What is the length of each leg?

Sagot :

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boatengalbert291 boatengalbert291 · Answer 1 · 2022-02-28T22:05:25-05:00

boatengalbert291 boatengalbert291

28-02-2022

Since two angles are the same the right angled triangle is also isosceles (i.e is having two same sides )
Let those 2 sides be ‘b’

According to Pythagoras ,

(b^2) + (b^2) = (4^2)

2(b^2)=16

divide through by 2

(b^2)=8

b= √8

b= 2 √2 inches

Therefore the other sides have lengths of 2 √2 inches each

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The hypotenuse of a 45°-45°-90° triangle measures 4 inches. What is the length of each leg?

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