Since the numbers 7, 24, 25 form a Pythagorean triple
Then the similar triangle to this triangle must have multiple sides of 7, 24, 50 and make also Pythagorean triple
Let us check the answers
14, 48, 50
![\begin{gathered} (14)/(7)=2 \\ (48)/(24)=2 \\ (50)/(25)=2 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/enaccnswndf1a60lapcyfilb82n9z20zga.png)
All sides have an equal ratio
![\begin{gathered} 14^2+48^2=196+2304=2500 \\ 50^2=2500 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/cmwsicq41u5b9adx22efuq9ob2a7m68t2x.png)
They are a Pythagorean triple
Then 14, 48, 50 is similar to the given triangle
The first answer is correct
The 6th answer is 35, 120, 125
![\begin{gathered} (35)/(7)=5 \\ (120)/(24)=5 \\ (125)/(25)=5 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/em7b3z8h7xmabevuu0hzqlf7i5ieysbayb.png)
All sides have the same ratio
![\begin{gathered} 35^2+120^2=1225+14400=15625 \\ 125^2=15625 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/ahhx1igao714fhwbxj2pe2g4w2q1tbcupo.png)
Then 35, 120, 125 make Pythagorean triple
The 6th answer is correct
The answers are:
14, 48, 50 ------- 1st answer
35, 120, 125 ------ 6th answer