Question

Construct a triangle $XYZ$ in which $XY=7.8\text{cm},YZ=4.5\text{cm}$ and $XZ=9.5\text{cm}$

Answer 1

• Draw a line segment that is sufficiently long using a ruler.
• Locate points $X$ and $Z$ on it such that $XZ=9.5\text{cm}$.
• With $X$ as center and radius $7.8\text{cm}$, draw an arc.
• With $Z$ as centre and radius $4.5\text{cm}$ , draw another arc cutting the previous arc at $C$.
• Join $XY$ and $YZ$

Then $△XYZ$ is the required triangle.