Some primitive triples are ... (3, 4, 5) (5, 12, 13) (7, 24, 25) (9, 40, 41) One interesting characteristic of these is that the sum of the last two numbers is the square of the first number.
Any multiple of these will be a Pythagorean triple.
Now consider your list. a) (10, 24, 26) = 2×(5, 12, 13) . . . IS a Pythagorean Triple b) 2×(7, 24, 25) = (14, 48, 50), so (14, 48, 49) is NOT a Pythagorean Triple c) 3×(3, 4, 5) = (9, 12, 15), so (9, 12, 16) is NOT a Pythagorean Triple d) (9, 40, 41) . . . IS a Pythagorean Triple e) 5×(3, 4, 5) = (15, 20, 25) . . . IS a Pythagorean Triple
The sets of side lengths that are Pythagorean Triples are ... (10, 24, 26) (9, 40, 41) (15, 20, 25)
Okay so we want to always use order of operations: PEMDAS
Sop first we do what is in the parenthesis. 19*92 is 1748.
Now, going from left to right, we do multiplication and division. 76*32 is 2432. Then we divide that by 5 to get 486.4. And the last bit is 15*2 which is 30.
Answer: The triangles are congruent by SAS(side-angle-side)
Step-by-step explanation:
The triangles are congruent because 2 corresponding sides and one corresponding angle are given as congruent in an order respectable as a congruency statement(the SAS part).
