Question

Construct ∆PQR in which PR=7 cm, PQ = QR = 5cm. Measure angle R. What type of triangle is it.​

Answer 1

Answer:R=45°

Its an isosceles triangle

Step-by-step explanation:

Answer 2

Answer:

Angle of R is 45° and the triangle is a isosceles triangle.

Explanation:

Given in the question, PR = 7cm , PQ = QR = 5cm.

Here we see that, PQ = QR , which indicate that it is an isosceles triangle because two side of an isosceles triangle are equal.

• An isosceles triangle in geometry is a triangle with two equal-length sides.

• It can be stated as having exactly two equal-length sides or at least two equal-length sides, with the latter definition containing the equilateral triangle as an exception.

Now, we draw a isosceles triangle according to the given information.

• First we take a line PR of 7cm by the help of a scale.
• Take P as a center and draw an arc of length 5cm .
• Take R as a center and draw an arc which cut the previous arc.
• Now, join the points and with the help of a projector we measure the angle of R.

So, the angle of R is 45°

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