The length of the hypotenuse of a right triangle is 157 units. The length of one leg of the triangle is 132 units. Lara wrote the following step to find the length of the unknown leg: Length of the unknown leg = 1572 - 1322 = 24,649 - 17,424 = 7,225 units Which statement best explains whether Lara's step is correct or incorrect?

Question

Mathematics

Leonidas Barrett

27 October, 06:13

The length of the hypotenuse of a right triangle is 157 units. The length of one leg of the triangle is 132 units. Lara wrote the following step to find the length of the unknown leg: Length of the unknown leg = 1572 - 1322 = 24,649 - 17,424 = 7,225 units Which statement best explains whether Lara's step is correct or incorrect?

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Answers (1)

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Margaret Ferguson · Answer 1

24649-17424=7225 UNITS

Step-by-step explanation:

This step implies that Lara was using the Pythagoras theorem to find the missing length of the right triangle.

a²+b²=c², taking a and b to be the two lengths adjoined by the right angle and c the hypotenuse.

Laura's step represents the step above.

157²=24649

132²=17424

157²-132²=c²

24649-17424=7225