Which information is correct to create a triangle?

¯ ¯¯¯¯¯¯ ¯ A B

= 5 cm ,

∠

A = 35°,

∠

C = 75°

No worries! We‘ve got your back. Try BYJU‘S free classes today!

An equilateral triangle with side 6 cm

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

A right angled triangle with two other angles measured 40° and 50°

No worries! We‘ve got your back. Try BYJU‘S free classes today!

An isosceles triangle with equal sides 5 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B An equilateral triangle with side 6 cm
We can construct a triangle when,
1) Three sides are given
2) Two sides and included angle are given
3)Two angles and included side are given
4) The hypotenuse and one side of a right angled triangle are given.

So, here we are given with an equilateral triangle with side 6 cm. Hence, we have all 3 sides of the triangle as 6 cm. Therefore, we can construct a triangle for this condition.

In the case of other the three options, the information given is not sufficient to construct an unique triangle.

Suggest Corrections

Similar questions

Q. In an equilateral triangle

Δ A B C

with sides

5

cm. Angle bisectors of

∠ A, ∠ B, ∠ C

meet at point O. Measures of OA approximately is

Q. Draw a triangle with two sides of 5 cm and 6 cm and the angle between them is 45

^{\circ}

. Find the circumradius of the triangle measures.

Q. A triangle ABC is constructed with AB = 6 cm, BC = 8.48 cm and

∠ A = 90^{\circ}

. Then, the triangle formed is

Given that in a triangle ABC, AB = 5.5 cm, BC = 5.5 cm, AC = 6 cm and $∠ A B C = 120^{\circ}$ . The given triangle is a/an ___ based on its sides and a/an ___ based on its angles.

Q. Solve the following examples.
(1) Find the height of an equilateral triangle having side 2a.
(2) Do sides 7 cm, 24 cm, 25 cm form a right angled triangle ? Give reason.
(3) Find the length a diagonal of a rectangle having sides 11 cm and 60 cm.
(4) Find the length of the hypotenuse of a right angled triangle if remaining sides are 9 cm and 12 cm.
(5) A side of an isosceles right angled triangle is x. Find its hypotenuse.
(6) In ∆PQR; PQ =

\sqrt{8}

, QR =

\sqrt{5}

, PR =

\sqrt{3}

. Is ∆PQR a right angled triangle ? If yes, which angle is of 90°?

Join BYJU'S Learning Program