Math, asked by Arvindkumar9, 1 year ago

the area of a triangle is 12 CM square if its two sides are 3 cm and 4 cm find the length of third side

Answers

Answered by littyissacpe8b60
1

Let ABC is a triangle in which AB=3cm, base BC=4cm and AD be the perpendicular drawn from A to BC

1/2  * 4 * h  = 12

2h = 12

h = 6

In right angle triangle ADB,  AB² = BD² + AD²

3² = 6² + (4 - x)²

This method is not working since height is higher

Let us try another method

S = 3 + 4 +x =  x + 7

12² = (x + 7) ((x + 3) (x +4)

144 = 7x³ + 98x² + 427x + 588

7x³ + 98x² + 427x  + 444 = 0

To make it zero x should be negative numbers. Side can't be negative.


I tried many method.

Something is wrong.  Sorry I can't complete it



littyissacpe8b60: it will not work. Area² ie. 12² ie 4 x 3 x 4 x 3 = S(S-4)(S-3)(S-x) This factors we never going to get. S should be big number than other side. Negative numbers can't come for sides. So what to do? They gave you answer?
littyissacpe8b60: the side O got (- 1.50208204...)
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