Answer: The area of ABC is 50 square units.
Step-by-step explanation:
Area of Triangle =
![(1)/(2)base * height](https://img.qammunity.org/2021/formulas/english/college/qkil3iqjsr2ykxzrrs4u17911owx3sx5vd.png)
Base = BC = 5 units
Height = AB?
Going by the Pythagorean Theory, the distance between 2 points can be found by;
=
![\sqrt{(x2 - x1)^(2) + (y2 - y1)^(2)}](https://img.qammunity.org/2021/formulas/mathematics/high-school/vpgs3heaxpqxg0o7o2hb8p2w9zev7ftnr2.png)
Length of AB =
![\sqrt{(-9 -7)^(2) + ( 10 + 2)^(2)}](https://img.qammunity.org/2021/formulas/english/college/fuojec1hjkanj0ffn4ozopqsdei1xx0scq.png)
Length of AB = 20 units
Area =
![(1)/(2)base * height](https://img.qammunity.org/2021/formulas/english/college/qkil3iqjsr2ykxzrrs4u17911owx3sx5vd.png)
Area =
![(1)/(2)* 5 * 20](https://img.qammunity.org/2021/formulas/english/college/z8gtbxtsx43r5ty8cwjkqtb32of3fjzl5h.png)
Area = 50 square units
Full question and details are;
Triangle ABC is a right triangle
The length of BC is 5 units.
The area of ABC is ____ square units.