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Molodets [167]
3 years ago
14

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

Mathematics
2 answers:
Otrada [13]3 years ago
6 0

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

Ann [662]3 years ago
4 0
I think I got the answer. Use at your own risk. But I think the answer is 19.21
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