Advertisements
Advertisements
प्रश्न
Which of the following statements are true (T) and which are false (F) :
If the altitude from one vertex of a triangle bisects the opposite side, then the triangle may be isosceles.
Advertisements
उत्तर
False (F)
Reason: Here the altitude from thee vertex is also the perpendicular bisector of the opposite side.
⇒ The triangle must be isosceles and may be an equilateral triangle.
APPEARS IN
संबंधित प्रश्न
ABC is a triangle in which altitudes BE and CF to sides AC and AB are equal (see the given figure). Show that
- ΔABE ≅ ΔACF
- AB = AC, i.e., ABC is an isosceles triangle.
Show that the angles of an equilateral triangle are 60° each.
In a ΔABC, if ∠A=l20° and AB = AC. Find ∠B and ∠C.
In Fig. 10.23, PQRS is a square and SRT is an equilateral triangle. Prove that
(i) PT = QT (ii) ∠TQR = 15°
Find the measure of each exterior angle of an equilateral triangle.
ABC is a triangle in which ∠B = 2 ∠C. D is a point on BC such that AD bisects ∠BAC and AB = CD.
Prove that ∠BAC = 72°.
Which of the following statements are true (T) and which are false (F):
The measure of each angle of an equilateral triangle is 60°
In a ΔABC, if ∠B = ∠C = 45°, which is the longest side?
In ΔABC, side AB is produced to D so that BD = BC. If ∠B = 60° and ∠A = 70°, prove that: (i) AD > CD (ii) AD > AC
Fill in the blank to make the following statement true.
The sum of three altitudes of a triangle is ..... than its perimeter.
If the angles of a triangle are in the ratio 2 : 1 : 3, then find the measure of smallest angle.
In the given figure, x + y =
In a ΔABC, ∠A = 50° and BC is produced to a point D. If the bisectors of ∠ABC and ∠ACDmeet at E, then ∠E =
The side BC of ΔABC is produced to a point D. The bisector of ∠A meets side BC in L. If ∠ABC = 30° and ∠ACD = 115°, then ∠ALC = ______.
Which of the following correctly describes the given triangle?
In ∆ABC, BC = AB and ∠B = 80°. Then ∠A is equal to ______.
If ∆PQR ≅ ∆EDF, then is it true to say that PR = EF? Give reason for your answer
In ∆PQR, ∠P = 70° and ∠R = 30°. Which side of this triangle is the longest? Give reason for your answer.
CDE is an equilateral triangle formed on a side CD of a square ABCD (Figure). Show that ∆ADE ≅ ∆BCE.
