Question

Lena's guest house is 15 m long and 12 m wide. How long is the diagonal of the house?

Answer 1

Imagine the diagonal of a rectangle being the split between two triangles. you are trying to find the longest side of the triangle, which is the "diagonal" of the rectangle.

to find the length of a side of a triangle, use the Pythagorean theorem. it is : a^2 + b^2 = c^2

so... plug in your data like this...

15^2 + 12^2= c^2.

225 + 144 = the square root of 369.

that is rounded to 19.2

this is just how I would solve this problem, if I helped you out please just let me know by voting me brainliest! :)

Answer 2

Assuming that the legnths given ae th sides o the room and th room is a recagnel

the diagonal makes 2 right triangles
pythagorean theorem
a^2+b^2=c^2
a and b are legs
c=hypotonuse

in this case
legnth and width are te legs and the diagonal is the hyptonuse

15^2+12^2=c^2
225+144=c^2
369=c^2
square root both sides
3√41ft=c