Construct $△ PQR$ in which $PR = 7 cm$ and $PQ = QR = 5 cm$ . Measure $∠ P$ and $∠ R$ . What type of triangle is this?

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Solution

Step 1: Draw a line $PR = 7 cm$
Step 2: Taking point P as a center with a radius $5 cm$ draw an arc
Step 3: Taking point R as a center with a radius $5 cm$ draw another arc
Step 4: Join PQ and RQ
Sides PQ and RQ are equal and their corresponding angles are also equal which is $∠ P = ∠ R$
Hence, the $△ PQR$ is an isosceles triangle because its two sides PQ and RQ are equal.

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Construct △PQR in which PR=7cm and PQ=QR=5cm. Measure ∠P and ∠R. What type of triangle is this?

Construct $△ PQR$ in which $PR = 7 cm$ and $PQ = QR = 5 cm$ . Measure $∠ P$ and $∠ R$ . What type of triangle is this?