The distance between the points is 5
Answer: About 6.71 units
Step-by-step explanation:
You use the distance formula:
.
Assign the the two points to the variables:
![(x_{1}, y_{1}) = (1, 3)\\(x_{2}, y_{2}) = (4, -3)](https://tex.z-dn.net/?f=%28x_%7B1%7D%2C%20y_%7B1%7D%29%20%3D%20%20%281%2C%203%29%5C%5C%28x_%7B2%7D%2C%20y_%7B2%7D%29%20%3D%20%284%2C%20-3%29)
Substitute them in the formula:
![\sqrt{(4-1)^{2}+(-3-3)^{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B%284-1%29%5E%7B2%7D%2B%28-3-3%29%5E%7B2%7D%7D)
And solve it:
![\sqrt{(4-1)^{2}+(-3-3)^{2}}\\=\sqrt{(3)^{2}+(-6)^{2}}\\=\sqrt{9+36}\\=\sqrt{45}\\=6.71](https://tex.z-dn.net/?f=%5Csqrt%7B%284-1%29%5E%7B2%7D%2B%28-3-3%29%5E%7B2%7D%7D%5C%5C%3D%5Csqrt%7B%283%29%5E%7B2%7D%2B%28-6%29%5E%7B2%7D%7D%5C%5C%3D%5Csqrt%7B9%2B36%7D%5C%5C%3D%5Csqrt%7B45%7D%5C%5C%3D6.71)
Answer: it is 3
Step-by-step explanation:
It is given in the question that
BD is the median. So it divides the opposite sides in two equal parts .
Therefore in triangles BAD and BCD,
AB and AC are congruent because of isosceles triangle.
AD and CD are congruent because of the median BD.
And BD and BD are congruent .
So the two triangles are congruent by SSS and the correct option is the first option .