A suitcase measures 24 inches long and 18 inches high, what is the diagonal length of the suitcase?
2 answers:
Answer:
the diagonal is 30 inches
Step-by-step explanation:
you assume a suitcase is a rectangular shape, and the diagonal length makes 2 right triangles; therefore you can use Pythagorean theorem
+
=
; where a = 24, b = 18 and c is the diagonal
+
= 
= 576 + 324
= 900
c = 30 inches
Answer:
The diagonal is 30 inches
Step-by-step explanation:
Assuming a rectangular suitcase (with right angles), we can use the Pythagorean theorem to solve this
a² + b² = c²
so we plug our two values to find the diagonal (hypotenuse)
24² + 18² = c²
576 + 324 = c²
900 = c²
c = √900
c = 30
The diagonal is 30 inches
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