Question

Calculate x

pls help!!





​

Answer 1

x ≈ 14.3 cm

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
`(1)/(2)` x

Using the tangent ratio on the left, right triangle, then

tan35° =
`(opposite)/(adjacent)` =
`(5)/((1)/(2)x )` =
`(10)/(x)` ( multiply both sides by x )

x × tan35° = 10 ( divide both sides by tan35° )

x =
`(10)/(tan35)` ≈ 14.3 cm ( to 1 dec. place )