Tomatoes are fruit, yes. Botanically.

Here is a list of botanical fruits: tomato, cucumber, zucchini, yellow squash, acorn squash, butternut squash, pumpkin, eggplant, bell pepper, jalapeno pepper, habanero pepper, poblano pepper, cayenne pepper, serrano pepper, banana pepper, avocado, olive

Tomato is botanically a fruit, and culinarily a vegetable. Vegetables are not a botanical classification. Botanical classifications are often surprising - a strawberry is not a botanical berry, for example, but culinarily it is.