In triangle PQR, mSP = 300
, mSQ = 550
. Find mSR. What kind of triangle it is ?show method
Answers
Answered by
0
Answer:
Nice question
Step-by-step explanation:
But I am weak in maths
Answered by
1
Step-by-step explanation:
We know that, the sum of three angles of a triangle is 180°.
In ΔPQR, ∠P + ∠Q + ∠R = 180°
⇒ 55° + 25° + ∠R = 180°
⇒ ∠R = 180° – (55° + 25°)= 180° – 80° =100°
In ΔTSM, ∠T + ∠S + ∠M = 180°
⇒ ∠T + ∠25°+ 100° = 180°
⇒ ∠T = 180°-(25° +100°)
=180°-125°= 55°

In ΔPQR and A TSM, and
∠P = ∠T, ∠Q = ∠S,
and ∠R = ∠M
ΔPQR ~ ΔTSM [since, all corresponding angles are equal]
Hence, ΔQPR is not similar to ΔTSM, since correct correspondence is P ↔ T, Q < r→ S and R ↔M
it hink this example will help U dear.
Similar questions