In the given figure, ∠CED = ∠CAB.
(i) Show that :
△CED is similar to triangle CAB.
(ii) Find DE.

Question

In the given figure, ∠CED = ∠CAB. (i) Show that : △CED is similar to triangle CAB. (ii) Find DE.

KnowledgeBoat · Accepted Answer

(i) In △ CED and △ CAB, ⇒ ∠CED = ∠CAB (Given) ⇒ ∠DCE = ∠ADB (Common angle) ∴ △ CED ~ △ CAB (By A.A. axiom) Hence, proved that △CED is similar to triangle CAB. (ii) We know that, Corresponding sides of similar triangle are proportional. Hence, DE = 6 cm.

Items	List price	Rate of GST	Discount
A	₹ 800	12%	5%
B	₹ 2,000	5%	Nil
C	₹ 600	18%	10%

Mathematics

In the given figure, ∠CED = ∠CAB.
(i) Show that :
△CED is similar to triangle CAB.
(ii) Find DE.

Similarity

Related Questions

If M is the mean of six natural numbers x₁, x₂, x₃, x₄, x₅ and x₆. Show that :
(x₁ - M) + (x₂ - M) + (x₃ - M) + (x₄ - M) + (x₅ - M) + (x₆ - M) = 0

Items List price Rate of GST Discount
A ₹ 800 12% 5%
B ₹ 2,000 5% Nil
C ₹ 600 18% 10%
Find the total amount of bill for the above items.

Mathematics

In the given figure, ∠CED = ∠CAB.(i) Show that :△CED is similar to triangle CAB.(ii) Find DE.

Similarity

Related Questions

If M is the mean of six natural numbers x1, x2, x3, x4, x5 and x6. Show that :(x1 - M) + (x2 - M) + (x3 - M) + (x4 - M) + (x5 - M) + (x6 - M) = 0

ItemsList priceRate of GSTDiscountA₹ 80012%5%B₹ 2,0005%NilC₹ 60018%10%Find the total amount of bill for the above items.

In the given figure, ∠CED = ∠CAB.
(i) Show that :
△CED is similar to triangle CAB.
(ii) Find DE.

If M is the mean of six natural numbers x₁, x₂, x₃, x₄, x₅ and x₆. Show that :
(x₁ - M) + (x₂ - M) + (x₃ - M) + (x₄ - M) + (x₅ - M) + (x₆ - M) = 0

Items List price Rate of GST Discount
A ₹ 800 12% 5%
B ₹ 2,000 5% Nil
C ₹ 600 18% 10%
Find the total amount of bill for the above items.