The length of the hypotenuse of a right triangle is 145 units. The length of one leg of the triangle is 144. Mike wrote the foll

Question

2 years ago

12

The length of the hypotenuse of a right triangle is 145 units. The length of one leg of the triangle is 144. Mike wrote the foll

owing step to find the length of the unknown leg: Length of the unknown leg = 1452 − 1442 = 21,025 − 20,736 = 289 units Which statement best explains whether Mike's step is correct or incorrect?

Mathematics

2 answers:

NNADVOKAT [17] · Answer 1 · 2022-09-01T09:32:13+03:00

NNADVOKAT [17]2 years ago

6 0

Hi Vance :)

a=leg unknow
b=leg
c=hypotenuse

a²+b²=c²
a²=c²-b²
a²=145² - 144²
a²=21,025 - 20,736
a²=289
a=√289
a=17

unknow leg = 17 units

jeyben [28] · Answer 2 · 2022-09-01T11:56:32+03:00

jeyben [28]2 years ago

6 0

Answer:

incorrect

Step-by-step explanation:

It is incorrect because the length of the unknown side is the square root of 289.