Question

If you place a ladder against a wall at an angle, what type of triangle will you get?
a. Equilateral triangle
b. Right angles triangle
c. Isosceles triangle
d. Scalene triangle

Answer 1

Hint: In order to solve this question, we will assume that the wall is standing vertically at an angle of 90˚ with the ground, so it means that the triangle formed will have an angle equal to 90˚. We will take help of the basic definition of different types of triangles to select the most appropriate option.

Complete step-by-step answer:
It is given in the question that a ladder is placed against a wall at an angle, and we have been asked to find the type of triangle formed.
We know that a wall is always perpendicular to the ground, which means that the wall will form an angle of 90˚ with the ground. It can be shown as below.

Now, if we place a ladder against the wall, we will get as follows,

So, we can see that a triangle is formed having right angle between the wall and the ground.
Now, we will consider all the options one by one.
Let us consider option (a), that is an equilateral triangle. As we know that the angles of an equilateral triangle measures 60˚ and has no angle as 90˚. Hence, option (a) is wrong.
Now, let us consider option (b), that is a right angled triangle. As we know that right angled triangle has one angle equal to 90˚, and also in the given case the triangle has one angle as 90˚, we can say that option (b) is correct.
Now, we will consider option (c), that is, an isosceles triangle. As we know that an isosceles triangle has two sides equal and as it is not specified in the question that the triangle formed has two sides equal, we can say that option (c) is wrong.
Now, we will consider option (d), that is, a scalene triangle. As we know that a scalene triangle has all the sides different and as it is not specified in the question that the triangle formed has equal or unequal sides, we can say that option (d) is wrong.
Therefore, we get that option (b) is the correct answer.

Note: Most of the students get confused between scalene triangle and right angled triangles, and they might think of witting scalene triangle as the answer, but the most appropriate answer will be right angled triangle as it is given that one angle is 90˚ but it is not mentioned whether the triangle formed has equal or unequal sides.