Question

14. Construct a triangle Por, Where DR =4.com
po & PR
= 7.5 cm and angle Por=bo.
Also
write the steps 89
construction​

Answer 1

Answer:

Step-by-step explanation:

Third angle = 90° and pqr is an isosceles triangle.

Step-by-step explanation:

In Δ pqr,

∠rpq = 45° , ∠rqp = 45°

Now, Using angle sum property of a triangle which states that sum of all the angles of a triangle is 180°. We get,

∠rqp + ∠rpq + ∠prq = 180°

45° + 45° + ∠prq = 180°

⇒ ∠prq = 90°

Since the two angles :  ∠rqp and ∠rpq are equal. So, the opposite sides to both the angles are also equal ⇒ pr = qr

Now, In Δpqr the two sides are equal, so Δpqr is an isosceles triangle.