Question

side of the triangle is 51 cm 52 cm and 53 cm find the length of the perpendicular on the 52 cm side of the triangle​

Answer 1

Answer:

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Answer 2

Answer: Length of perpendicular will be 45cm .

Given:  let the triangle be ABC

Side AB=51cm , side AC=53cm and side BC=52cm

Construction: draw perpendicular to side BC from vertex A named AD

                        such that B-D-C

To Find: length of AD

Solution: please refer the figure attached with this data first........

In triangle ADC by pythagoras theorem,

                AC²=AD²+DC²

                53²=y²+x².......................(1)

           in triangle ADB by pythagoras theorem,

            AB²=AD²+BD²

           51²=y²+(52-x)²

          51²=y²+52²-(104x)+x²...................(2)

substract equation 1 from equation 2,

we get -104x = -2912

                    x = 28

put value x=28 in equation 1.

we get y² =  53² - 28²

           y² = 2809- 784

           y² = 2025

            y= 45

hence length of AD=y

         therefore, AD=45

therefore, length of perpendicular drawn from vertex A to side BC is 45 cm.