Question

Construct $\Delta RUN$ in which RN = 5cm, $\angle R=\angle N=45°.$ Measure the other angle and other sides. Name the triangle.

Answer 1

Step -1:
Draw a rough sketch of a triangle and label it with the given measurements.

Step -2:
Draw a line segment RN of length $5cm$.

Step -3:
Draw a ray $\overrightarrow{RX}$ making an angle ${45}^{\circ }$ at $R$.

Step -4:
Draw a ray $\overrightarrow{NY}$ making an angle ${45}^{\circ }$ at $N$.

Step -5:
Mark the intersecting point of the two rays as $U.△RUN$ is the required triangle $\angle U={90}^{\circ },RU=UN=3.5cm$

$\therefore$ The triangle is an isosceles right angled triangle.