In the following diagram- if AC - AB- then CF - BE is equal toA- 1B- 0-5C- 1-5D- 2

The correct option is A 1 In ΔACF and ΔABE, AB = AC (given) ∠ A = ∠ A (common angle) ∠ AFC = ∠ BEA=90^∘ nbsp; nbsp;(altitudes BE and AF) AFC ≅ AEB (AAS ...

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Standard IX

Mathematics

AAS Criteria for Congruency

In the follow...

Question

In the following diagram, if AC = AB, then $\frac{C F}{B E}$ is equal to _______.

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Solution

The correct option is A
1

In ΔACF and ΔABE,
AB = AC (given)
$∠ A = ∠ A$ (common angle)
$∠ A F C = ∠ B E A = 90^{\circ}$ (altitudes BE and AF)
$⟹$ $△$ AFC $≅$ $△$ AEB (AAS congruency rule)
CF = BE (CPCT)
$\frac{C F}{B E}$ =1

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Similar questions

In the following diagram, if AC = AB, then $\frac{C F}{B E}$ is equal to _______.

Q. State whther the following statement is true or false
In

△ A B C

A B = A C

;

B E ⊥ A C

and

C F ⊥ A B

. Then

B E = C F

Q. In

Δ A B C,

segments

A D, B E

and

C F

are the altitudes. If

A B \times A C = 28.80

and

B E \times C F = 20,

then

A D \times B C

equals:

△ A B C

A B = A C

;

B E ⊥ A C

and

C F ⊥ A B

. Prove that :

B E = C F

If AD, BE and CF are the medians of a $△ A B C t h e n (A D^{2} + B E^{2} + C F^{2}) : (B C^{2} + C A^{2} + A B^{2})$ is equal to

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In the following diagram, if AC = AB, then CFBE is equal to _______.

The correct option is A 1 In ΔACF and ΔABE, AB = AC (given) ∠A=∠A (common angle) ∠AFC=∠BEA=90∘ (altitudes BE and AF) ⟹ △AFC ≅ △AEB (AAS congruency rule) CF = BE (CPCT) CFBE=1

In the following diagram, if AC = AB, then $\frac{C F}{B E}$ is equal to _______.

The correct option is A
1

In ΔACF and ΔABE,
AB = AC (given)
$∠ A = ∠ A$ (common angle)
$∠ A F C = ∠ B E A = 90^{\circ}$ (altitudes BE and AF)
$⟹$ $△$ AFC $≅$ $△$ AEB (AAS congruency rule)
CF = BE (CPCT)
$\frac{C F}{B E}$ =1