Question
What is the length of y in this picture?
- 45
- 5√2
- 90
- 5
Hint:
We are given a right-angled triangle. One of its angle is 45°, so the other angle will be 45°. It is 45°-45°-90° triangle. We are given the length of the one of its side. We are asked to find the length of the other side. It is denoted by “y”. We have to use the properties of both right-angled triangle and 45°-45°-90° triangle.
The correct answer is: 5
Let the given triangle be ABC
∠ABC = 90°
AB = y
BC = 5
AC = x
It is a 45°-45°-90° triangle. The two angles of the triangle are same. It means the sides opposite to the triangle are equal. When a triangle has two sides equal, it is an isosceles triangle.
The given triangle is an isosceles triangle.
AB = BC
So, AC = 5
y = 5
Therefore, the value of length y is 5.
For such questions, we should know the properties of different triangles.
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