Mathematics
If the lengths of two sides of an isosceles triangle are 4 cm and 10 cm, then the length of the third side is
4 cm
10 cm
7 cm
14 cm
Triangles
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Answer
The length of third side can either be 4 cm or 10 cm.
If the third side is 4 cm then the sides are,
4, 4, 10.
Here, 4 + 4 = 8 < 10.
Since, the sum of two sides of a triangle must be greater than third side hence, these sides are not possible.
Hence, the length of third side is 10 cm.
Hence, Option 2 is the correct option.
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Consider the following two statements :
Statement 1: If two angles and one side of a triangle is equal to two angles and one side of an other triangle then the two triangles are congruent.
Statement 2: The angle opposite to equal sides of an isosceles triangle are equal.
Which of the following is valid?
Both the statements are true.
Both the statements are false.
Statement 1 is true, and Statement 2 is false.
Statement 1 is false, and Statement 2 is true.
Assertion (A): If two triangles are congruent to each other then the ratio of corresponding side is 1 : 1.
Reason (R): Two triangles are congruent if and only if they have same shape and size.
Assertion (A) is true, Reason (R) is false.
Assertion (A) is false, Reason (R) is true.
Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct reason for Assertion (A).
Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct reason (or explanation) for Assertion (A).