Question

Which of the following shows the length of the third side, in inches, of the triangle below? (1 point)

A right triangle is shown. One side of the triangle is labeled shown as 73 inches. The height of the triangle is labeled as 48 inches.
Question 10 options:

1)

121

2)

Square root of 7633

3)

55

4)

Square root of 25

Answer 1

2, sqrt of 7633

Explanation:

for now, we'll leave the 3rd side as x

y using the Pythagorean theorem, we can conclude that (1) 48^2+x^2=73^2 or (2) 48^2+73^2=x^2.

1. If we conclude the x isn't the longest, the x would be 3025 which is the sqrt of 55, now is invalid because the 2 smallest sides can't be more than the longest side when they add up 55+48>73 so that is invalid

2. Then, it leaves us with only 1 choice left! concluding that the 3rd side is the longest. Which the answer is sqrt of 7633