The hypotenuse of a right triangle is 37 millimeters long. One leg of the right triangle is 12 millimeters long. What is the len

Question

Galina-37 [17]

2 years ago

12

The hypotenuse of a right triangle is 37 millimeters long. One leg of the right triangle is 12 millimeters long. What is the len

gth of the other leg? 30 millimeters 35 millimeters 40 millimeters 47 millimeters

Mathematics

2 answers:

Anna35 [415] · Answer 1 · 2022-04-20T05:36:34+03:00

Anna35 [415]2 years ago

3 0

For a right triangle. if the legs are length a and b and hypotonse is c then
a²+b²=c²

given
a lig is 12
hypotonse is 37

a=12
c=37

12²+b²=37²
144+b²=1369
minus 144 both sides
b^2=1225
sqrt both sides
b=35

the other leg is 35 mm

Vikentia [17] · Answer 2 · 2022-04-20T06:40:56+03:00

Answer: The lenght of the other leg is 35 milimeters.

Step-by-step explanation:

Hi, to answer this question we have to apply Pythagorean Theorem. It states that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the other legs.

Mathematically speaking:

c ² = a ² + b²

Where: c= hypotenuse

a and b = the other legs

Replacing with the values given:

37² = 12² + b ²

Solving:

37² - 12 ² = b²

1,369 -144 =b²

1,225 =b²

√1,225 =b

35= b