In two triangle are equilateral then the ratio of their respectively sides, medians, angle bisector and altitude are equal.

True

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

False

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

Open in App

Solution

The correct option is A True
Any two equilateral triangle are similar because each angle of both the triangle is $90 °$ and hence by $A A A$ postulate, triangles are similar.
Hence, ratio of respective sides, medians, angle bisectors, altitudes will be equal by corresponding parts of the similar triangle.

Suggest Corrections

Similar questions

Which of the following statements are true (T) and which are false (F):

(i) Sides opposite to equal angles of a triangle may be unequal.

(ii) Angles opposite to equal sides of a triangle are equal.

(iii) The measure of each angle of an equilateral triangle is 60°.

(iv) If the altitude from one vertex of a triangle bisects the opposite side, then the triangle may be isosceles.

(v) The bisectors of two equal angles of a triangle are equal.

(vi) If the bisector of the vertical angle of a triangle bisects the base, then the triangle may be isosceles.

(vii) The two altitudes corresponding to two equal sides of a triangle need not be equal.

(viii) If any two sides of a right triangle are respectively equal to two sides of other right triangle, then the two triangles are congruent.

(ix) Two right triangles are congruent if hypotenuse and a side of one triangle are respectively equal equal to the hypotenuse and a side of the other triangle.

Q. Draw an equilateral triangle. Draw its altitudes, medians and angle bisectors. Explain your observation.

Q. Draw an equilateral triangle. Draw its altitudes, medians and angle bisectors. Explain your observation
Answer: The orthocenter O, centroid G and incentre I are all same in an equilateral triangle
If true then enter 1 else if False enter 0

Q. Prove that the areas of two similar triangles are in the ratio of the squares of their corresponding: [4 MARKS]
(i) altitudes
(ii) Medians
(iii) Angle bisector segments

Q. If the medians of two equilateral triangles are in the ratio

3 : 2,

then what is ratio of the sides

?

Join BYJU'S Learning Program

In two triangle are equilateral then the ratio of their respectively sides, medians, angle bisector and altitude are equal.

The correct option is A TrueAny two equilateral triangle are similar because each angle of both the triangle is 90° and hence by AAA postulate, triangles are similar.Hence, ratio of respective sides, medians, angle bisectors, altitudes will be equal by corresponding parts of the similar triangle.