Advertisements
Advertisements
Question
As shown in the figure, Avinash is standing near his house. He can choose from two roads to go to school. Which way is shorter? Explain why.
Advertisements
Solution
In any triangle, the sum of the lengths of any two sides of a triangle is always greater than the third side.
Therefore, in △ABC, AC < AB + BC.
Hence, the shortest way to reach school is via AC.
RELATED QUESTIONS
If one angle of a triangle is equal to the sum of the other two, show that the triangle is a
right triangle.
AB is a line segment. P and Q are points on opposite sides of AB such that each of them is equidistant from the points A and B (See Fig. 10.26). Show that the line PQ is perpendicular bisector of AB.
Compute the value of x in the following figure:
If two sides of a triangle are 5 cm and 1.5 cm, the length of its third side cannot be ______.
In the given figure, express a in terms of b.
In the following, find the marked unknown angle:
The correct statement out of the following is 
If an angle of a triangle is equal to the sum of the other two angles, find the type of the triangle
In the following figure, points lying in the interior of the triangle PQR are ______, that in the exterior are ______ and that on the triangle itself are ______.
The sides of a triangle must always be connected so that:
