Name: Various Tools in a Geometry Box
Uploaded: 2019-07-19
Duration: 5 min 43 s
Description: A geometry box has several tools that are used to construct geometric figures. Let's learn about the various tools, their uses and how to use a ruler.

Question

Construct a right-angled triangle having hypotenuse of length

5.4 cm

and one of its acute angles measuring

60 °

.

Accepted Answer

We are given to construct a right-angled triangle having hypotenuse of length $5.4 cm$ and one of its acute angles measuring $60 °$ .

A right-angled triangle has the right angle measuring $90 °$ . Hence, the third angle of the right-angled triangle is $180 ° - 90 ° - 60 ° = 30 °$ .

Now, the problem is reduced to constructing a right-angled triangle having hypotenuse of length $5.4 cm$ and two acute angles $30 °$ and $60 °$ .

Steps of construction:

(i) Draw a line segment $A B = 5.4 cm$ .

(ii) Construct $30 °$ angle at the point $A$ and $60 °$ angle at the point $B$ using a protector.

(iii) The other lines constituting these two angles intersect at the point $C$ .

(iv) Then, obviously, $∠ A C B$ will be equal to $90 °$ and thus $△ A B C$ is the required right-angled triangle.

Construct a right-angled triangle having hypotenuse of length $5.4 cm$ and one of its acute angles measuring $60 °$ .

Important Questions on Constructions

Learn and Prepare for any exam you want !

Construct a right-angled triangle having hypotenuse of length 5.4 cm and one of its acute angles measuring 60°.

Important Questions on Constructions

Learn and Prepare for any exam you want !

Construct a right-angled triangle having hypotenuse of length $5.4 cm$ and one of its acute angles measuring $60 °$ .