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Standard X

Mathematics

Circumcenter and Construction of Circumcircle in a Triangle

In ABC , AB =...

Question

In ∆ ABC, AB = 12cm, / B = 58^o, the perpendicular from A to BC meets it at D. The bisector of /ABC meets AD at E. Calculate correct to one decimal place,

6.4 cm, 4.5 cm

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6.4 cm, 7 cm

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6.4 cm, 3.5 cm

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3.2 cm, 3 cm

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3.2 cm, 2.5 cm

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3.2 cm, 1.5 cm

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Solution

The correct option is C
6.4 cm, 3.5 cm

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Similar questions

Q. In ∆ABC, DE is drawn parallel to BC, cutting AB and AC at D and E, respectively, such that AB = 7.2 cm, AC = 6.4 cm and AD = 4.5 cm. Find AE.

(a) 5.4 cm
(b) 4 cm
(c) 3.6 cm
(d) 3.2 cm

In triangle ABC, AD is the bisector of angle A, meeting BC at D, if BD = 2.5 cm, AB = 5cm and AC = 4.2 cm then DC

Q. Question 203
Construct a trapezium ABCD, where

A B ∥ C D

, AD = BC = 3.2 cm, AB = 6.4 cm and CD = 9.6 cm. Measure

∠ B

and

∠ A

[Hint Difference of two parallel sides gives an equilateral triangle]

In a $Δ A B C$ , AD is the bisector of $∠ A$ .

(i) If AB = 6.4 cm, AC = 8 cm and BD = 5.6 cm, find DC.

(ii) If AB = 10 cm, AC = 14 cm and BC = 6 cm, find BD and DC.

(iii) If AB = 5.6 cm, BD = 3.2 cm and BC = 6 cm, find AC.

(iv) If AB = 5.6 cm, AC = 4 cm and DC = 3 cm, find BC.

Q. In a

△ A B C, D

and

E

are points on the sides

A B

and

A C

respectively such that

D E ∥ B C

. If

A D = 2.4 c m, A E = 3.2 c m, D E ∥ B C

. If

A D = 2.4 c m, A E = 3.2 c m, D E = 2 c m

and

B C = 5 c m

, find

B D

and

C E

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In ∆ ABC, AB = 12cm, / B = 58o, the perpendicular from A to BC meets it at D. The bisector of /ABC meets AD at E. Calculate correct to one decimal place,

The correct option is C 6.4 cm, 3.5 cm

In ∆ ABC, AB = 12cm, / B = 58^o, the perpendicular from A to BC meets it at D. The bisector of /ABC meets AD at E. Calculate correct to one decimal place,

The correct option is C
6.4 cm, 3.5 cm