In ijk, i=170 inches, j=119 and k=42.find the area of ijk, to the nearest square inch

9514 1404 393

  25,975 in²

Step-by-step explanation:

Since your j+k < i, we assume that not all of these dimensions are side lengths. If we assume ...

  i = 170 in

  J = 119°

  K = 42°

Then we can find side j using the law of sines.

  I = 180° -119° -42° = 19°

Then the law of sines tells us ...

  j/sin(J) = i/sin(I)

  j = i·sin(J)/sin(I) = (170 in)sin(119°)/sin(19°) = 456.695

Then the area of the triangle is ...

  A = (1/2)(i·j·sin(K)) = (1/2)(170 in)(456.695 in)sin(42°) ≈ 25,975.03 in²

The area of triangle IJK is about 25,975 square inches.

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.