An isosceles right angled triangle has two equal sides and those two equal sides make 90 degrees. The correct option is D, 5.
What is an isosceles right-angled triangle?
An isosceles right angled triangle has two equal sides and those two equal sides make 90 degrees (right angle) internally.
What is Tangent (Tanθ)?
The tangent or tanθ in a right-angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The base is the adjacent smaller side of the angle θ.
In the given right-angled triangle, the length of y in this picture using the trigonometric functions can be written as,
Tan(45°) = y/5
1 = y/5
5 × 1 = y
y = 5 units
Hence, the length of y in this picture is 5 units.
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