What is the length of leg s of the triangle below?
2 answers:
Answer:
Length of leg s is 3 units.
Step-by-step explanation:
Given the 45-45-90 triangle, in which length of hypotenuse is and one leg is 3 units.
we have to find the length of other leg i.e leg s
As two angles of triangle are equal implies given triangle is isosceles.
As the two sides of isosceles triangle are equal.
Hence, the length of leg s must be equal to the length of other leg which is given 3 units.
Hence, length of leg s is 3 units.
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Answer & Step-by-step explanation:
This can be proven with the SAS theorem (side-angle-side)
With a perpendicular bisector, the line it bisects is cut directly in half. This creates two equal sides:
and it creates two 90° angles:
∠∠
And because of the reflexive property of congruence:
Side-Angle-Side.
:Done