In - ABC- - C - - A and BC - 6 cm and AC - 5 cm- Then the length of AB is

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Standard VI

Mathematics

Measuring Line Segments

In Δ ABC, ∠...

Question

In $Δ A B C, ∠ C = ∠ A$ and BC $=$ 6 cm and AC $=$ 5 cm. Then the length of AB is

6 c m

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5 c m

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3 c m

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2.5 c m

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Solution

The correct option is A $6 c m$
Given, $∠ C = ∠ A$
We know sides opposite to equal angles are equal.
Therefore, $A B = B C$
Given, $B C = 6$ cm
Thus $A B = 6$ cm
So, option A is correct.

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Similar questions

$I n Δ A B C, ∠ C = ∠ A, BC = 4 cm and AC = 5 cm. Then, AB =? (a) 4 cm (b) 5 cm (c) 8 cm (d) 2.5 cm$

In a $Δ A B C$ , AD is the bisector of $∠ A$ , meeting side BC at D.
(i) If BD= 2.5 cm, AB = 5 cm and AC = 4.2 cm, find DC.
(ii) If BD= 2 cm, AB = 5 cm and DC = 3 cm, find AC.
(iii) If AB= 3.5 cm, AC = 4.2 cm and DC = 2.8 cm, find BD.
(iv) If AB =10 cm, AC =14 cm and BC = 6 cm, find BD and DC.
(v) If AC = 4.2 cm, DC = 6 cm and BC = 10 cm, find AB.
(vi) If AD= 5.6 cm, AC = 6 cm and DC = 3 cm, find BC.
(vii) If AB= 3.6 cm, BC e 6 cm and BD = 32 cm, find AC.
(viii) If AB =10 cm, AC = 6 cm and BC = 12 cm, find BD and DC

Q. In Fig. 4.60, check whether AD is the bisector of ∠A of ∆ABC in each of the following:

(i) AB = 5 cm, AC = 10 cm, BD = 1.5 cm and CD = 3.5 cm
(ii) AB = 4 cm, AC = 6 cm, BD = 1.6 cm and CD = 2.4 cm
(iii) AB = 8 cm, AC = 24 cm, BD = 6 cm and BC = 24 cm
(iv) AB = 6 cm, AC = 8 cm, BD = 1.5 cm and CD = 2 cm
(v) AB = 5 cm, AC = 12 cm, BD = 2.5 cm and BC = 9 cm

M, N and P are the mid points of AB, AC and BC respectively. If MN = 3 cm, NP = 3.5 cm and MP = 2.5cm, then the measures of BC, AB and AC are

Question 36

In a right angled $Δ A B C$ , if $∠ B = 90^{\circ}$ , BC = 3 cm and AC = 5 cm, then the length of side AB is

a) 3 cm
b) 4 cm
c) 5 cm
d) 6 cm

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In ΔABC,∠C=∠A and BC = 6 cm and AC = 5 cm. Then the length of AB is

The correct option is A 6cmGiven, ∠C=∠AWe know sides opposite to equal angles are equal. Therefore, AB=BCGiven, BC=6 cmThus AB=6 cmSo, option A is correct.

In $Δ A B C, ∠ C = ∠ A$ and BC $=$ 6 cm and AC $=$ 5 cm. Then the length of AB is

The correct option is A $6 c m$
Given, $∠ C = ∠ A$
We know sides opposite to equal angles are equal.
Therefore, $A B = B C$
Given, $B C = 6$ cm
Thus $A B = 6$ cm
So, option A is correct.