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Q.

If you place a ladder against a wall at an angle, what type of triangle will you get ?


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a

Equilateral triangle

b

Right angles triangle

c

Isosceles triangle

d

Scalene triangle 

answer is B.

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Detailed Solution

Concept- To answer this question, we'll assume that the wall is vertically positioned at an angle of 90 circle with the ground. As a result, the triangle that results will also have an angle of  Question ImageTo choose the best alternative, we will refer to the basic definitions of the many types of triangles.
TheQuestion states that a ladder is leaning against a wall at an angle, and it asks us to identify the type of triangle that results.
Since a wall is always perpendicular to the ground, it will always make a 90-degree angle with the latter. It can be displayed as follows.
Question ImageThe result of leaning a ladder against a wall is as follows:
Question ImageAs a result, the wall and the ground have created a triangle with a right angle.
We will now go over each choice individually.
Let's have a look at option (a), an equilateral triangle. As is well knowledge, an equilateral triangle's angles are Question Image circumference and Question Image circumference, respectively. So, option (1) is incorrect.
Let's now take a look at option (2), which is a right-angled triangle. We may claim that option (2) is true because we know that a right-angled triangle has one angle that is equal to Question Image and that in the example provided, the triangle likewise has one angle equal to Question ImageWe'll now look at option (3), or an isosceles triangle. We can say that option (3) is incorrect since we know that an isosceles triangle has two equal sides and theQuestion does not specify that the triangle generated has two equal sides.
We shall now look at option (4), or a scalene triangle. We can rule out option (4) since we know that a scalene triangle has different sides on each side, and theQuestion does not specify whether the triangle created has equal or unequal sides.
Hence, the correct answer is option 2.
 Syllabus: CBSE
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