Question

ABC is a right triangle. If AB= 3 and AC= 7, find BC. Leave your answer in the simplest radical form.

1.) 2√13
2.) √58
3.) 4√3
4.) 2√3

Answer 1

• AB=3
• AC=7

Using Pythagorean theorem

`\\ \sf\longmapsto BC^2=AB^2+AC^2`

`\\ \sf\longmapsto BC^2=7^2+3^2`

`\\ \sf\longmapsto BC^2=49+9`

`\\ \sf\longmapsto BC^2=58`

`\\ \sf\longmapsto BC=√(58)`