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Now, area of ▲AEF = 0.5 * AG * EF and area of trapezium EFCB = 0.5 * GD * (EF+BC) Let, h is the height of cut from the top of the triangle. Also, if we draw a parallel line to BC which cuts AB and AC at points E and F respectively and G being the midpoint of EF then ▲AEG is similar to ▲ABD, ▲AFG is similar to ▲ACD, ▲AEF is similar to ▲ABC, and by using properties of similar triangles we can conclude the following points:ĪE/AB = AG/AD = EG/BD = EF/BC = AF/AC -–(i)Īs per problem’s requirement, we have to find out the height h, such that the ratio of the area of ▲AEF to the area of trapezium EFCB = n:m. BC 2 × BD (In isosceles triangle, altitude and median are same) BC 5 × 2 10 cm. We know the Pythagorean triplet, (13, 12, 5) So, AD 12 cm, BD 5 cm and AB 13 cm. Calculation: Since AD perpendicular to BC, ADB is right angle triangle. If D is mid-point of BC, then AD is our height H. In isosceles triangle, altitude and median are same. Let ▲ABC is an isosceles triangle with AB = AC and BC being unequal side and base of the triangle. Recommended: Please try your approach on first, before moving on to the solution.įirst of all before proceeding let us mention some of the basic properties of an isosceles triangle. Program to find whether a given number is power of 2.Program to count digits in an integer (4 Different Methods).Program for Binary To Decimal Conversion.Print all possible combinations of r elements in a given array of size n.
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AN ISOSCELES TRIANGLE HOW TO
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