Construct an equilateral triangle PQR of side 6.5 cm. Measure ZP, ZQ and ZR. What do you conclude ?
Answers
Answer:
construct it by your self and if you don't know watvh video on YouTube
Step-by-step explanation:
Given,
Construct an equilateral \triangle PQR△PQR of side 6.5\ cm6.5 cm and Measure \angle P, \angle Q\ and\ \angle R∠P,∠Q and ∠R
Following steps:
Draw a line segments PQ=6.5\ cmPQ=6.5 cm using scale.
PP as a center and 6.5\ cm6.5 cm as radius draw an arc.
Also QQ as a center and 6.5\ cm6.5 cm as radius draw an arc which cuts the before arc at point RR
Join PR\ and QRPR andQR
Hence, \triangle PQR△PQR is the required triangle.
We know,
In equilateral triangle, all three angle are equal.
So,
\angle P+\angle Q+\angle R=180∠P+∠Q+∠R=180
⇒3\angle P=1803∠P=180 (∵ All three are equal)
⇒\angle P=\frac{180}{3}∠P=
3
180
∴ \angle P=60\ degree∠P=60 degree
∴ \angle P, \angle Q\ and\ \angle R∠P,∠Q and ∠R value are 60\ degrees60 degrees