45-45-90 triangle side ratios | Right triangles and trigonometry | Geometry | Khan Academy

Showing the ratios of the sides of a 45-45-90 triangle are 1:1:sqrt(2)

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[fsyi]

2 identical 45-45-90 triangles form another 45-45-90 triangle with hypotenuses as legs; since 2 identical 45-45-90 triangles form a square with legs as sides as well,
area of square with hypotenuses as sides = 2 × (area of 45-45-90 triangle with hypotenuses as legs) = 2 × (area of square with legs as sides)
hypotenuse^2 = 2 × leg^2
hypotenuse = √2 × leg

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[sharwarideshpande]

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[manjusha]

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[Phonetiks]

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[katrinaultriyama]

can you help me with this problem?

"The Pythagorean theorem is used to prove the side lengths of a right triangle. Use complete sentences to describe the proof of a right triangle with sides lengths of 7 meters, 24 meters, and 25 meters."

[dildobaggins]

whats the height of iscoceles triangle?

[vwlz]

the 30 60 90 and 45 45 90 are the triangles that are similar to the set square .

[brooklynnmiller]

he doesnt explain every f-in detail on how to do this

[brooklynnmiller]

he doesnt explain every f-in detail on how to do this