Question

Joey is building a doghouse. He measures the lengths of two sides and the hypotenuse to make sure the boards create a right triangle.



Which of the measurements below could be used to create the right triangle?

5 in, 7 in, 12 in
8 in, 12 in 14 in
5 in, 9 in, 11 in
6 in, 8 in, 10 in
pleasee help mee

Answer 1

Answer: 6in, 8in, 10in

6 squared + 8 squared equals to the radical of 100, which equals to 10 because 10 squared is.. 100

Answer 2

The measurements that can be used to build a right-angled triangle are

$6 in, 8 in, 10 in$

The measurements that can be used to build a right-angled triangle must form a Pythagorean triple. A Pythagorean triple is a set of three numbers $\{x,y,z\}$ that satisfy the Pythagorean relationship

$x^2+y^2=z^2$

The measurements $\{5 in, 7 in, 12 in\}$ do not form a triple since

$5^2+7^2=74\ne12^2$

The measurements $\{8 in, 12 in, 14 in\}$ do not form a triple since

$8^2+12^2=208\ne14^2$

The measurements $\{5 in, 9 in, 11 in\}$ do not form a triple since

$5^2+9^2=106\ne11^2$

The measurements $\{6 in, 8 in, 10 in\}$ form a triple since

$6^2+8^2=100=10^2$

So, the last set of measurements $6 in, 8 in, 10 in$ can be used to build a right-angled triangle

Learn more about Pythagorean triples here: https://brainly.com/question/16314667