Question

The base of an isosceles triangle is 5 and its perimeter is 11. The base of a similar isosceles triangle is 10. What is the perimeter of the larger triangle?

Answer 1

Answer:

22

Step-by-step explanation:

in small triangle's case,let the value of 2 unknown equal sides be x m

then perimeter=11=2x+5. we get x=3 m

given both the triangles are similar. so ratios of their corresponding sides will be equal.

ratio of their bases=5/10=1/2

take each of the other equal sides of the bigger triangle as y m each

then x/y=1/2

3/y=1/2

y=6 m

so perimeter of bigger triangle =6+6+10=22 m