My Learning Cart
?
Categories
Account

In triangle PQR, if angle P = 30 degrees and angle Q = 45 degrees, what is the l

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: In triangle PQR, if angle P = 30 degrees and angle Q = 45 degrees, what is the length of side QR if PQ = 10 cm?

Options:

  1. 5√2 cm
  2. 10 cm
  3. 10√2 cm
  4. 5 cm

Correct Answer: 5√2 cm

Solution: 

Using the sine rule, QR = PQ * (sin Q / sin P) = 10 * (sin 45 / sin 30) = 10 * (√2/2 / 1/2) = 10√2 cm.

In triangle PQR, if angle P = 30 degrees and angle Q = 45 degrees, what is the l

Practice Questions

Q1
In triangle PQR, if angle P = 30 degrees and angle Q = 45 degrees, what is the length of side QR if PQ = 10 cm?
  1. 5√2 cm
  2. 10 cm
  3. 10√2 cm
  4. 5 cm

Questions & Step-by-Step Solutions

In triangle PQR, if angle P = 30 degrees and angle Q = 45 degrees, what is the length of side QR if PQ = 10 cm?
  • Sine Rule – The sine rule relates the lengths of sides of a triangle to the sines of its angles, allowing for the calculation of unknown side lengths when certain angles and sides are known.
  • Angle Sum in Triangle – The sum of angles in a triangle is always 180 degrees, which is crucial for determining the third angle when two angles are given.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks