Question

Q1.In a triangle 3 7 5=10, 3 6 9=25, 5 8 7=?

Answer 1

Answer:

234

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

SOLUTION

TO DETERMINE

In a triangle 3 7 5 = 10 , 3 6 9 = 25 , 5 8 7 = ?

EVALUATION

Here it is given that

In a triangle 3 7 5 = 10 , 3 6 9 = 25

We first find the pattern

For 3 7 5

$\sf{ {(3)}^{2} + {(7 - 5 - 1)}^{2} = {(3)}^{2} + {(1)}^{2} = 9 + 1 = 10}$

For 3 6 9

$\sf{ {(3)}^{2} + {(6 - 9- 1)}^{2} = {(3)}^{2} + {( - 4)}^{2} = 9 + 16 = 25}$

Thus the pattern is : For a b c

$\sf{ abc = {(a)}^{2} + {(b - c - 1)}^{2} }$

So for 5 8 7

$\sf{ {(5)}^{2} + {(8 - 7 - 1)}^{2} = {(5)}^{2} + {(0)}^{2} = 25 + 0 = 25}$

FINAL ANSWER

5 8 7 = 25

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