Answer:
The measure of each sides of isosceles triangle is 16.67 inches , 16.67 inches , 11.25 inches
Step-by-step explanation:
Given as for a Isosceles triangle :
The base of Triangle = 11.25 inches
The sides of triangle meets at 56°
Let the unknown side measure = x inches
From <u>The property of isosceles triangle</u>
The angle opposite to the same side are equal
I.e =
= 56°
So, The third angle = 180° - ( +
)
Or, The third angle = 180° - ( 56° + 56° )
∴ The third angle = 180° - 112° = 68°
Now, From isosceles triangle
Tan 56° =
Or, Tan 56° =
∴ x = 11.25 × Tan 56°
Or, x = 11.25 × 1.482 = 16.672 inches
Hence The measure of each sides of isosceles triangle is 16.67 inches , 16.67 inches , 11.25 inches Answer