Question

guest house is 15m long and 12m wide. what is the diagonal of the house?

Answer 1

I think I got the answer. Use at your own risk. But I think the answer is 19.21

Answer 2

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

$a^{2}$ + $b^{2}$ = $c^{2}$

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

$l^{2}$ + $w^{2}$ = $d^{2}$

Substitute for length 15m and width 12m, we will have

$15^{2}$ + $12^{2}$ = $d^{2}$

225 + 144 = $d^{2}$

369 =  $d^{2}$

d = $\sqrt{369}$

d = 19.2094

d ≈ 19.21m