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ABC is an isosceles triangle in which AB=AC and(∠A)=2(∠B), AB=4 cm. What is the ratio of inradius to the circumradius?

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Important Questions on Geometry

MEDIUM
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IMPORTANT
Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 55
In a triangle ABC, the two sides AB and AC are 36 cm and 30 cm, and the radius of its circumcircle is 45 cm. What's the length of perpendicular drawn from its vertex A on the sides BC ?
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Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 56
The sides of a triangle are in the ratio 1:3 :2, then the angles of the triangle are in the ratio
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Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 59
The sides of triangle ABC are 5,5,6 and the sides of triangle PQR are 5,5,8. Find the correct relation between Find the correct relation between the areas of two triangles.
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Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 60
The sides AC, BC and AB of a triangle ABC are tangents to its in the circle at D, E and F, respectively. The point D lies on the hypotenuse AC such that D is the circumcentre of the triangle ABC. Find EF: AC.
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Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 61
The inradius and circumradius of a right angle triangle are 6 cm and 16 cm. Find the area (in sq. cm) of the triangle.
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Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 62
A circle is the circumcircle for the triangle DEF and the incircle for the triangle ABC. If the angles of ∆DEF are 76°,56° and 48°, find the values of internal angles of ∆ABC
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Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 63
In a ∆ABC, a perpendicular OD is drawn on the side AC from the mid-point of the side AB . If BC=43 cm, find the length of OD.
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Quantum CAT Also Useful for XAT>Chapter 12 - SNAP>CMAT>Q 64
The hypotenuse AC of a right angle triangle ABC is 42 cm. This triangle has the maximum possible area with the given hypotenuse. A rectangle EFGH is formed in such a way that the two vertices G and H lie on the hypotenuse AC while the vertices E and F lie on BC and AB, respectively. If EH=14 cm, find the area of the largest possible circle that can be inscribed in the rectangle EFGH.