Menelaus Theorem
Trending Questions
D is point on AC such that AD = 1 cm and E is the midpoint of AB. Join D and E and extend DE to meet CB at F. Find BF.
- 4 cm
- 3 cm
- 1 cm
- 2 cm
AC=2√2, then find the value of AB.
- 150∘, 30∘
- 120∘, 60∘
- 30∘, 150∘
- 60∘, 120∘
A chord of a circle is equal to the radius of the circle. Find the angle subtended by the chord at a point on the minor arc and also at a point on the major arc.
D is point on AC such that AD = 4 cm and E is the midpoint of AB. Join D and E and extend DE to meet CB at F. Find BF.
- 3 cm
- 6 cm
- 5 cm
- 4 cm
AB, BC, and AC are tangents to the circle at M, X, and N respectively.
Also, AM = 2 cm, BX = 3 cm, NC = 4 cm
Then, AN + XC + MB = 9 cm.
True
False
ABC is an isosceles triangle with AB = AC = 4cm . A circle through B touches side AC at its middle point D and intersects side AB in point P. Find the value of AP
1 cm
4 cm
3 cm
2 cm
- 120o
- 60o
- 90o
- 45o
ABC is an isosceles triangle right-angled at B. Similar triangles ACD and ABE are constructed on sides AC and AB. Find the ratio between the areas of ΔABE and ΔACD. [4 MARKS]
(i) AB2=BC.BD
(ii) AC2=BC.DC
(iii) AD2=BD.CD
- True
- False
- Niether
- Either
Now that he calculated the length of the stick DE, he needs to fix it at the correct position. So, the distance of DE from the apex of the tent, A, i.e., AF = __ ft
[1 mark]
- 2
- 3
- 65
- 85
BL and CM are medians of a triangle ABC right angled at A. Prove that
4(BL2+CM2)=5BC2. [3 MARKS]
- 2√3a
- 7√9a
- 4√3a
- 5√2a
In the given figure a triangle ABC is drawn to circumscribe a circle of radius 3 cm such that the segments BD and DC into which BC is divided by the point of contact D are of length 9 cm and 3 cm respectively. Find the length of sides AB and AC.
- AB = 9 cm, AC = 15 cm
- AB = 15 cm, AC = 9 cm
- AB = 10 cm, AC = 5 cm
- AB = 5 cm, AC = 10 cm
- 2√3a
- 7√9a
- 4√3a
- 5√2a
centre is 25cm. The radius of the circle is
- 12cm
- 24.5cm
- 15cm
- 7cm
ABC is a right angled triangle with AB = 12 cm and AC = 13 cm. A circle, with centre O, has been inscribed inside the triangle.
Calculate the value of x, the radius of the inscribed circle.
8 cm
3 cm
2 cm
9 cm