Question

Construct an isosceles triangle $XYZ$ in which base $YZ=5.8cm$ and altitude from X on $YZ$ is $3.8cm$

Answer 1

Steps of construction:
1.Draw a line segment YZ whose length is $5.8cm$
2;Draw the perpendicular bisector of YZ; call it AB with B on YZ
3;With B as centre and radius $3.8cm$, draw an arc cutting AB at X
4.join XY and XZ.
Then XYZ is the required triangle.