Question

✧construct a right angled triangle whose hypotenuse is of length 5.5 cm and one of the acute angles is of measure 60 degree ​

Answer 1

4 Step Construction for Right Triangle

Step-by-step explanation:

Let ΔABC be the Right Angled Triangle (At B) with AC as Hypotenuse and $\angle ACB$ = 60 °

Since, ΔABC is Right angled triangle at B, applying the Angle sum property of a triangle-

We get-

$\angle ABC + \angle ACB + \angle CAB = 180$°

⇒90 + 60 + $\angle CAB$ = 180 °

⇒$\angle CAB$ = 180 – 150 = 30 °

Steps of Construction-  

1.) Draw a Line segment AC = 5.5 cm (Given Hypotenuse = 5.5 cm).

2.) With C as center, draw $\angle ACB = 60$° and extend the line to point X.

3.) With A as center, draw an $\angle CAB = 30$° (As obtained above) intersecting the line AX produced at B.

4.) Join AB and AC.

ABC is the required triangle.

Answer 2

Step-by-step explanation:

. draw a line segment AC=5.5cm.

. with C as centre angle ABC=60degree and extend the line to point X .

.with A as centrevdraw an angle ABC =30degree intersecting the line AX produced at B .

. join AB and AC