Solve the triangle PQR by finding their angles

In summary, $QB$ and $RA$ are angle bisectors of triangle $PQR$ with $\angle QBA=24^{\circ}$ and $\angle RAD=18^{\circ}$. We are asked to find the measures of angles $P,\,Q$ and $R$. The question should read as "$QB$ and $RA$ are angle bisectors of triangle $PQR$. Given that $\angle QBA=24^{\circ}$ and $\angle RAB=18^{\circ}$. Find the measure of each angles $P,\,Q$ and $R$."
  • #1
anemone
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$QB$ and $RA$ are angle bisectors of the triangle $PQR$. Given that $\angle QBA=24^{\circ}$ and $\angle RAD=18^{\circ}$. Find the measure of each angles $P,\,Q$ and $R$.
 
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  • #2
anemone said:
$QB$ and $RA$ are angle bisectors of the triangle $PQR$. Given that $\angle QBA=24^{\circ}$ and $\angle RAD=18^{\circ}$. Find the measure of each angles $P,\,Q$ and $R$.
where is point D located ?
 
  • #3
Albert said:
where is point D located ?

Ops...the question should read as "$QB$ and $RA$ are angle bisectors of the triangle $PQR$. Given that $\angle QBA=24^{\circ}$ and $\angle RAB=18^{\circ}$. Find the measure of each angles $P,\,Q$ and $R$."

The letter $D$ should be a $B$, my apologies for the confusion and that explains perfectly why this thread hasn't received any response yet!:eek:
 

FAQ: Solve the triangle PQR by finding their angles

1) What is the first step in solving a triangle?

The first step in solving a triangle is to identify the given information. This includes the lengths of the sides and/or the measures of the angles.

2) How many angles do I need to know in order to solve a triangle?

You need to know at least 3 pieces of information, which can include the measures of 3 angles or 2 angles and the length of one side.

3) What is the Pythagorean Theorem and how is it used to solve a triangle?

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. This theorem can be used to find the length of a missing side in a right triangle.

4) Can a triangle have more than one solution?

Yes, a triangle can have multiple solutions. This is known as the ambiguous case, and it occurs when there is not enough information given to uniquely determine the triangle.

5) How do I find the angles of a triangle?

To find the angles of a triangle, you can use the Law of Sines or the Law of Cosines, depending on the given information. These laws relate the angles and sides of a triangle and can be used to solve for missing angles.

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