Construct a triangle whose angles are in ratio 1:3:5 and length of side included by first and last angles is 6 cm.

Open in App

Solution

Draw a line segment PQ of length 6 cm.
With P as vertex and one of arm as PQ, draw the angle of $60^{\circ}$
Taking Q as vertex and one of arm as QP, draw the angle of $100^{\circ}$
let the second arms of these angles Intersect at R.
then, $Δ P Q R$ is required triangle.

Suggest Corrections

Similar questions

Write the steps to follow to construct a triangle with sides 5cm and 6cm with the included angle $60^{\circ}$ . Then, construct a triangle with the corresponding sides in the ratio 7:9.

Q. Construct a right-angled triangle one side of which measures 3.5 cm and the length of whose hypotenuse is 6 cm.

Construct a triangle with sides $5 c m, 6 c m$ and $7 c m$ and then another triangle whose sides are $\frac{7}{5}$ of the corresponding sides of the first triangle.

Construct a triangle ABC whose perimeter is 12 cm and the angles are in the ratio 2:3:5.

Construct a triangle whose side length AB is 5 m and $∠ B A C$ and $∠ C B A$ are $45^{\circ}$ and $50^{\circ}$ respectively. [3 MARKS]

Join BYJU'S Learning Program

Construct a triangle whose angles are in ratio 1:3:5 and length of side included by first and last angles is 6 cm.

Draw a line segment PQ of length 6 cm. With P as vertex and one of arm as PQ, draw the angle of 60∘ Taking Q as vertex and one of arm as QP, draw the angle of 100∘ let the second arms of these angles Intersect at R. then, ΔPQR is required triangle.

Draw a line segment PQ of length 6 cm.
With P as vertex and one of arm as PQ, draw the angle of $60^{\circ}$
Taking Q as vertex and one of arm as QP, draw the angle of $100^{\circ}$
let the second arms of these angles Intersect at R.
then, $Δ P Q R$ is required triangle.