Respuesta :

thaovtp1407

Answer:

65.46 units

Step-by-step explanation:

Given the information:

  • The vertex angle of an isosceles triangle measures 26°

=> the leg angle is:

= (180°  - 26° )/2

= 77°

  • The base is 30 units

Let x is the length of the leg side (x>0)

We use cosine law to find x, we have:

[tex]30^{2}[/tex] = [tex]x^{2} +x^{2} -2xxCos(26)[/tex] Because the  isosceles has two equal leg sides

<=> [tex]30^{2}[/tex] = 2[tex]x^{2}[/tex] - 1.79[tex]x^{2}[/tex]

<=> 0.21[tex]x^{2}[/tex]  = [tex]30^{2}[/tex]

<=> [tex]x^{2} =4285[/tex]

<=> x = 65.46 units

Hope it will find you well.

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