The base of an isosceles triangle is five and it’s perimeter is 11.The base of a similar isosceles triangle is 10.What is the perimeter of the larger triangle

Respuesta :

Answer:

The answer would be 22.

Step-by-step explanation:

Since we have 2 bases one being 5 and the other 10, if you multiply the base of the smaller triangle by 2 you get 10. Whatever the sides are for the smaller triangle multiply those by 2. ONce you get all the numbers for the large triangle add them all to get the perimeter.

[tex]\bf \stackrel{\textit{\Large Similar Triangles}}{\cfrac{\stackrel{base}{5}}{\underset{perimeter}{11}}=\cfrac{\stackrel{base}{10}}{\underset{perimeter}{x}}}\implies 5x=110\implies x=\cfrac{110}{5}\implies x=22[/tex]