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Question 1
A circle is touching the side BC of ΔABC at P and is also touching AB and AC produced at Q and R respectively. If AQ = 6 cm, then perimeter of ΔABC is
Question 2
ΔABC is similar to ΔPQR. Length of AB is 18 cm and length of the corresponding side PQ is 12 cm. If area of ΔABC is 324 sq cm, what is the area of ΔPQR?
Question 3
E is the mid-point of the median AD of 
. BE is joined and produced to meet AC at F. F divides AC in the ratio :
. BE is joined and produced to meet AC at F. F divides AC in the ratio :Question 4
For a triangle, base is 
cm and two base angles are 30 ° and 60. Then height of the triangle is
cm and two base angles are 30 ° and 60. Then height of the triangle isQuestion 5
A straight line parallel to the base BC of the triangle ABC intersects AB and AC at the points D and E respectively. If the area of ΔABE be 36 sq. cm then the area of ∆ACD is
Question 6
The perpendiculars, drawn from the vertices to the opposite sides of a triangle, meet at the point whose name is
Question 7
The ratio of length of each equal side and the third side of an isosceles triangle is 3 : 4. If the area of the triangle is 
square unit, the third side is
square unit, the third side isQuestion 8
The side QR of an equilateral triangle PQR is produced to the point S in such a way that QR = RS and P is joined to S. Then the measure of ∠PSR is
Question 9
ABC is an isosceles triangle With AB = AC. The side BA is produced to D such that AB = AD If ∠ABC = 30 °, then BCD is equal to
Question 10
The in-radius of an equilateral triangle is of length 3 cm. Then the length of each of its medians is?
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Sep 9ESE & GATE EE
