The lengths of the sides of a triangle are in integers and its area is also an integer. One side is 21 cm and the perimeter is 48 cm, then the length of the shortest side is
Given:
The sides of the triangle are integers.
The area of the triangle is an integer.
One side = 21 cm.
Perimeter = 48 cm.
We need to find the shortest side.
Solution:
a + b + c = 48
a + b + 21 = 48
a + b = 27
a = 10, then b = 17:
Checking the triangle inequality:
10 + 17 > 21
10 + 21 > 17
17 + 21 > 10
The shortest side is:
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120 Mins English English100 Questions100 Marks120 Mins English English100 Questions100 Marks120 Mins EnglishIn △ABC, AB = AC = 12 cm, BC = 5 cm and D is a point on AC such that DB = BC. What is the measure of CD?
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