Question

Construct a triangle $XYZ$ in which $XY=5cm,YZ=5.5cm$ and $\angle XYZ={100}^{\circ }$

Answer 1

(i) Draw a line segment which is sufficiently long using ruler.

(ii) Locate points $X$ and $Y$ on it such that $XY=5cm$.

(iii) At Y, construct a line segment YW, sufficiently large, such that $\angle XYZ=100˚$ ; use protractor to measure $100˚$

(iv) With Y as centre and radius 5.5 cm, draw the line cutting YW at Z; join $XZ$.

$\Rightarrow$ Then $XYZ$ is the required triangle.