Answer:
x ≈ 14.3 cm
Step-by-step explanation:
The line from the vertex to the base is a perpendicular bisector, that is
It divides the isosceles triangle into 2 right triangles, with base [tex]\frac{1}{2}[/tex] x
Using the tangent ratio on the left, right triangle, then
tan35° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{5}{\frac{1}{2}x }[/tex] = [tex]\frac{10}{x}[/tex] ( multiply both sides by x )
x × tan35° = 10 ( divide both sides by tan35° )
x = [tex]\frac{10}{tan35}[/tex] ≈ 14.3 cm ( to 1 dec. place )
