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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In a triangle, sides are proportional to 7:9:14. If the shortest side is 14 cm, find the perimeter.
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What is the value (in degrees) of angle BAC?
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Suggested Test Series
Suggested Test Series
If the angles of a triangle are 4x°, 3x°, 2x° then 1/4x° =
In a triangle, sides are proportional to 7:9:14. If the shortest side is 14 cm, find the perimeter.
In the given figure, angle ABD = 110 degrees and angle ACE = 125 degrees. What is the value (in degrees) of angle BAC?
In the given figure, angle ABC = 65 degrees and angle ACD = 120 degrees.
What is the value (in degrees) of angle BAC?
If the sides of a triangle are in the ratio of 1:√3:2, then what is the ratio of its corresponding angles ?
In △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?
A right-angled triangle has a hypotenuse of 13 cm and one leg of 5 cm. A second right-angled triangle is similar to the first, and its hypotenuse is 39 cm. What is the area of the second triangle?
In a quadrilateral ABCD, a line segment BD is a diagonal such that AB=CD and ∠ABD=∠CDB. Are the triangles ABD and CDB congruent? If so, by what rule?
In a trapezoid ABCD with AB parallel to CD, the diagonals AC and BD intersect at E. What is the ratio of the area of △ABE to the area of △CDE?
A right triangle ABC is inscribed in a circle with a diameter of 10 cm. An altitude BD is drawn from the vertex B to the hypotenuse AC. If the length of the leg AB is 6 cm, what is the length of the segment AD?
