Answer:
The diagonal of the house is approximately 19.21m
Step-by-step explanation:
Taking the shape of the house as a rectangular building, if length l is 15m and width w is 12m, then to find the diagonal, we can relate the shape now formed to a right angle triangle as the diagonal line divides the rectangular house into 2 right angled triangle.
We can now say the diagonal line is d.
To solve the question, we can consider pythagoras theorem which is
+
=
The length l and width w can be taking as opposite and adjacent a and b respectively, while diagonal d can be taking as hypothenus c
+
=
Substitute for length 15m and width 12m, we will have
+
= 
225 + 144 = 
369 = 
d = 
d = 19.2094
d ≈ 19.21m