You visited us 1 times! Enjoying our articles? Unlock Full Access!

Any Point Equidistant from the End Points of a Segment Lies on the Perpendicular Bisector of the Segment

If two median...

Question

If two medians of a triangle are equal in length, then the new triangle formed as a result of the medians is:

right angled but not isosceles

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

isosceles but not right angle

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

right angled isosceles

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

equilateral

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

Open in App

Solution

The correct option is B isosceles but not right angle
In the diagram below, the medians of a triangle trisect each other. Therefore triangles $G D B$ and $G E C$ are congruent. Therefore $C E = B D$ and so $A C = A B$ .

Suggest Corrections

Similar questions

B L

and

C M

are the medians of a triangle

A B C

, right angled at

A

, then which one is true

Question 15

If two angles of a triangle are $60^{\circ}$ each, then the triangle is

a) Isosceles but not equilateral
b) Scalene
c) Equilateral
d) Right angled

Question 16
In the given figure, PQ $⊥$ RQ, PQ = 5 cm and QR = 5 cm. Then, $△ P Q R$ is

a) a right-angled triangle but not isosceles
b) an isosceles right-angled triangle
c) isosceles but not a right-angled triangle
d) neither isosceles nor right-angled triangle

Q. Two medians drawn from acute angles of a right angled triangle intersect at an angle

\frac{π}{6}

. If the length of the hypotenuse of the triangle is

3

units, then area of the triangle (in sq. units) is

Question 16
In the given figure, PQ $⊥$ RQ, PQ = 5 cm and QR = 5 cm. Then, $△ P Q R$ is

a) a right-angled triangle but not isosceles
b) an isosceles right-angled triangle
c) isosceles but not a right-angled triangle
d) neither isosceles nor right-angled triangle

Join BYJU'S Learning Program

If two medians of a triangle are equal in length, then the new triangle formed as a result of the medians is:

The correct option is B isosceles but not right angleIn the diagram below, the medians of a triangle trisect each other. Therefore triangles GDB and GEC are congruent. Therefore CE=BD and so AC=AB.

The correct option is B isosceles but not right angle
In the diagram below, the medians of a triangle trisect each other. Therefore triangles $G D B$ and $G E C$ are congruent. Therefore $C E = B D$ and so $A C = A B$ .