Question

Construct
an
isosceles
right-angled


triangle
KLM,
where
m∠KML
=
90°
and


KM
=
6
cm​

Answer 1

Answer:

1. Construct a line segment KM of length 6 cm.

2. At M, draw an arc and cut two smaller arcs which represent 60° and 120° respectively.

3. Bisect 60° and 120° to get 90°.

4. From M, extend a line segment of length 6 cm such that it cuts the arc of 90°.

5. Name the point as L.

6. Join L and K. KLM is the required triangle.

Answer 2

To construct: An isosceles right angled triangle

ABC where m∠C=90 o

AC=BC=6cm

Steps of construction:

• (a) Draw a line segment AC=6cm

• (b) At point C, draw XC⊥CA

• (c) Taking C as centre and radius 6cm, draw an arc

• (d) This arc cuts CX at point B

• (e) Join BA

It is the required isosceles right angled triangle ABC