If the three sides of a triangle are of length 5.34m, 7.12m, and 8.9m, do they form a right triangle? Why?

yes

Step-by-step explanation:

For this problem, you need to use the Pythagorean Theorim. Here it is:

a (squared) + b (squared) = c (squared)

Let's say 5.34 is a, 7.12 is b, and 8.9 is c (since it's the highest value).

We can plug in these three values into the Theorim:

5.34 (squared) + 7.12 (squared) = 8.9 (squared)

If this equation is true, the triangle is a right triangle.

28.5156 + 50.6944 = 79.21

Take the square root of 79.21 and see if it equals 8.9 (c).

It does! This means that the triangle is a right triangle. The values are true in the Pythagorean Theorim. For future reference, remember:

If a (squared) + b (squared) = c (squared), it's a right triangle.

Hope this helped you. If you have questions, put them in the comments below.

10

step-by-step explanation:

7+3=10

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation: