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Properties of Isosceles and Equilateral Triangles

Name the type...

Question

Name the type of the triangle:
$△ P Q R$ such that $P Q = Q R = P R = 5 c m$

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Solution

It is given that in $Δ P Q R$ ,

$P Q = Q R = P R = 5 c m$

Since all the sides of the given triangle are equal, therefore, the given triangle is an equilateral triangle.

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Question 1 (c)

Name the type of the following triangle:

$Δ P Q R$ such that PQ = QR = PR = 5 cm

Construct a triangle PQR in which PQ = 6.4 cm, PR = QR = 5 cm

△ P Q R, P Q = P R, X

P R

Q R^{2} = P R \times X R

Q X = Q R

A

B

are respectively the points on the sides

P Q

P R

P Q R

P Q = 12.5 c m, P A = 5 c m, B R = 6 c m

P B = 4 c m

A B ∥ Q R

? Give reasons for your answer.

Q. Construct a triangle

P Q R

Q R = 5 c m, ∠ R = 40^{o}

P R - P Q = 1 c m

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Properties of Isosceles and Equilateral Triangles

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