No these triangles are not similar.
Explanation:
Given Information on First triangle :
Base = 3
Height = 8
Given information on Second triangle :
Base = 4
Height = 10
Area of a Right Angle triangle :
![(base * height)/(2)](https://img.qammunity.org/2022/formulas/mathematics/high-school/q152s9lx3zbtshhzc55o808d5nkbn5p9te.png)
Area of First triangle :
![(3 * 8)/(2) = (24)/(2) \\ \\ = 12](https://img.qammunity.org/2022/formulas/mathematics/high-school/kugdsfh5tv56bj46f3v9y3xmf0dfrfcfz4.png)
Area of Second triangle :
![(4 * 10)/(2) = (40)/(2) = 20](https://img.qammunity.org/2022/formulas/mathematics/high-school/3drbtmkgk12ygcvxinwcmghllhqqxjfk5p.png)
Their Ratio :
![12:20 = (12)/(20) \\ = (3)/(5)](https://img.qammunity.org/2022/formulas/mathematics/high-school/r6ookvocgtdmp57cvrtkni9jtkakwpu1rz.png)
So I guess no, the triangles are not similar.