georgelani georgelani
  • 21-01-2021
  • Mathematics
contestada

In ΔGHI, h = 94 inches, ∠H=84° and ∠I=84°. Find the length of i, to the nearest 10th of an inch.

Respuesta :

lucic
lucic lucic
  • 21-01-2021

Answer:

94 in

Step-by-step explanation:

Taking the base angles to be <H =84° and ∠I=84° and h = h = 94 inches then you can apply the sine rule which states mathematically that;

a/sin A = b/sin B =c/sin C

In this case ;

h/ sin 84° = i/ sin 84°

94/ sin 84° = i /sin 84°

i= 94 in

Reason

ΔGHI is an isosceles triangle where angles <H and < I = 84°  and if side h = 94 inches  then side i =94 inches  because  side h = side i.

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