Question

in triangle pqr measure angle Q is equal to 90 degree and equity is an altitude if Q is equal to 15 and PR is equal to 34 find PQ​

Answer 1

Step-by-step explanation:

Answer:

∠PQ =16 cm.

Step-by-step explanation:

The Accurate Question :

In triangle PQR, ∠Q = 90° Find ∠PQ, If ∠PR = 34cm and ∠QR = 30cm

Given :

In triangle:

PQR, ∠Q = 90°

∠PR = 34cm.

∠QR = 30cm.

To Find :

∠ PQ.

Solution :

In this question there is right-angled trinagle. We know that to solving such type of question there is a theorem called "Pythagoras theorem.

★ Pythagoras theorem :

The area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.

We can write it as -

★ $\boxed{\bf H^2 = P^2 + B^2}}$

Now,

★ Consider the -

∠PQ as - a

Put the known values in Equation :

In ΔPQR,

⇒ 34² = a²+ 30².

⇒ 1156 - 900 = a²

⇒ a = √256

⇒ x = 16cm.

Hence,

The ∠PQ is - 16cm.