YasminG1706
YasminG1706 YasminG1706
  • 01-03-2022
  • Mathematics
contestada

The hypotenuse of a 45°-45°-90° triangle measures 4 inches. What is the length of each leg?

Respuesta :

boatengalbert291
boatengalbert291 boatengalbert291
  • 01-03-2022
Since two angles are the same the right angled triangle is also isosceles (i.e is having two same sides )
Let those 2 sides be ‘b’

According to Pythagoras ,

(b^2) + (b^2) = (4^2)

2(b^2)=16

divide through by 2

(b^2)=8

b= √8

b= 2 √2 inches

Therefore the other sides have lengths of 2 √2 inches each
Answer Link

Otras preguntas

how do I write 0.632 in two different forms
why do polar bears have sharp claws ?
When you sneeze, the air in your lungs accelerates from rest to approximately 150km/h in about 0.50 seconds. What is the acceleration, in units of g?
Do all parallelograms have diagonals that are lines of symmetry?
Climate warming trends allow plant and insect species to inhabit larger ranges. True or false?
An old house in Boxerville measures 30 feet in height and has windows 5 feet width. An architecture student builds a proportional model that is 3 feet high. How
How do I solve 394 × n = 3.94
what is x multipied by -x
An old house in Boxerville measures 30 feet in height and has windows 5 feet width. An architecture student builds a proportional model that is 3 feet high. How
ammar hikes 23/4 miles of nature trail in 1 hour and 15 min .How many miles of trail does ammar hike per hour? pleas help me to understand this