Question

a tent house in the shape of cone, its base is 5m and height 12 m then find slant height ​

Answer 1

the tent can be considered as a triangle and the slant as hypotenuse

therefore, According to pythagoras theorem

$(hypotenuse ){}^{2} = {(height)}^{2} + {(base)}^{2} \\ = {(h)}^{2} = {(12)}^{2} + {(5)}^{2} \\ = (h) {}^{2} = 144 + 25 \\ = (h){}^{2} = 169 \\ \sqrt{ {h}^{2} } = \sqrt{169} \\ = h =13cm$