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प्रश्न
Is it possible to construct a triangle with lengths of its sides as 8 cm, 7 cm and 4 cm? Give reason for your answer.
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उत्तर
Yes, because in each case the sum of two sides is greater than the third side.
i.e., 7 + 4 > 8, 8 + 4 > 7, 7 + 8 > 4
Hence, it is possible to construct a triangle with given sides.
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संबंधित प्रश्न
In an isosceles triangle ABC, with AB = AC, the bisectors of ∠B and ∠C intersect each other at O. Join A to O. Show that:
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If the base of an isosceles triangle is produced on both sides, prove that the exterior angles so formed are equal to each other.
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ABC is a right angled triangle in which ∠A = 90° and AB = AC. Find ∠B and ∠C.
Which of the following statements are true (T) and which are false (F):
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Fill the blank in the following so that the following statement is true.
Sides opposite to equal angles of a triangle are ......
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(iii) OA + OB + OC >` 1/2`(AB + BC + CA)
Which of the following correctly describes the given triangle?
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CDE is an equilateral triangle formed on a side CD of a square ABCD (Figure). Show that ∆ADE ≅ ∆BCE.
ABC is an isosceles triangle with AB = AC and D is a point on BC such that AD ⊥ BC (Figure). To prove that ∠BAD = ∠CAD, a student proceeded as follows:
In ∆ABD and ∆ACD,
AB = AC (Given)
∠B = ∠C (Because AB = AC)
and ∠ADB = ∠ADC
Therefore, ∆ABD ≅ ∆ACD (AAS)
So, ∠BAD = ∠CAD (CPCT)
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[Hint: Recall how ∠B = ∠C is proved when AB = AC].
