Question

Someone help me please !!!

Answer 1

Answer:

1. 10

2. 12

3. Sqrt 130

4. Sqrt 45

Step-by-step explanation:

To find the missing side of a right triangle, use the Pythagorean Theorem. The Pythagorean Theorem is $a^2+b^2=c^2$ where a and b are the legs with a being the smallest and c is the hypotenuse.

1. a=6, b=8, c=?

$6^2+8^2=c^2\\36+64=c^2\\100=c^2\\10=c$

2. a=5, b=?, c=13

$5^2+b^2=13^2\\25+b^2=169\\169-25=b^2\\144=b^2\\12=b$

3. a=7, b=9, c=?

$7^2+9^2=c^2\\49+81=c^2\\130=c^2\\\sqrt{130}=c$

4. a=2, b=?, c=7

$2^2+b^2=7^2\\4+b^2=49\\49-4=b^2\\45=b^2\\\sqrt{45}=b$