Question

Question #69d15

Answer 1

(a) 14, (b) = 12

Explanation:

(a)

Since the angles 45 : 45 : 90, it is an isosceles triangle and the sides will be in the ratio `(1 : 1 : sqrt2)`

Hyp. of lower triangle = `sqrt2 * 7 = 9.9`

`x = sqrt2 * 9.9 = 14`

(b)

since the angles are in the ration 30 : 60 : 90, the sides are in the ratio `(1 : sqrt3 : 2)`

Hyp. of lower triangle `= 6 / cos (30) = (6sqrt3)/2 = 4sqrt3`

x = (4 sqrt3) / tan 30 = 4sqrt3 / (1/sqrt3) = 12#