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प्रश्न
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.
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उत्तर
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.
संबंधित प्रश्न
In Fig. 10.25, AB = AC and DB = DC, find the ratio ∠ABD : ∠ACD.
In the given figure, if AB || CD, EF || BC, ∠BAC = 65° and ∠DHF = 35°, find ∠AGH.
In ΔABC, if bisectors of ∠ABC and ∠ACB intersect at O at angle of 120°, then find the measure of ∠A.
Mark the correct alternative in each of the following:
If all the three angles of a triangle are equal, then each one of them is equal to
The length of the three segments is given for constructing a triangle. Say whether a triangle with these sides can be drawn. Give the reason for your answer.
12 cm, 12 cm, 16 cm
Draw a rough sketch of a triangle ABC. Mark a point P in its interior and a point Q in its exterior. Is point A in its exterior or in its interior?
Identify three triangles in the figure.
How many sides does a triangle have?
What is the sum of the measures of the interior angles of any triangle, △ABC?
How is a vertex of triangle △ABC most accurately defined?
