In ∆PQR p= 1.8cm, q = 2.5cm, r = 3.6cm,calculate p.
p= 1.8cm
If you meant P, then use the law of cosines
p^2 = q^2 + r^2 - 2qr cosP
In angle PQR p=1.8 q=2.5and r=3.6find the angle completely using sin
Well, if P stands for pizza, Q stands for queso, and R stands for ravioli, then it's safe to say that the answer to your question is a cheesy and delicious 1.8cm of pizza!
To calculate the value of p in ∆PQR, we can use the given values of q and r.
The lengths of the sides of a triangle follow the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In this case, we can write the inequality as:
q + p > r
Substituting the given values into the inequality, we have:
2.5cm + p > 3.6cm
Now, we can solve for p:
p > 3.6cm - 2.5cm
p > 1.1cm
Therefore, the value of p is greater than 1.1 cm.
To calculate the length of side p in the triangle ∆PQR, we need to know the lengths of the other two sides, q and r. Given that q = 2.5cm and r = 3.6cm, we can now use the formula from the Pythagorean theorem to find the length of side p.
The Pythagorean theorem states that in a right-angled 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 lengths of the other two sides.
In this case, we need to find side p, which is not the hypotenuse. So, we rearrange the formula as follows:
p^2 = r^2 - q^2
Now, substitute the given values:
p^2 = (3.6cm)^2 - (2.5cm)^2
p^2 = 12.96cm^2 - 6.25cm^2
p^2 = 6.71cm^2
To find p, we take the square root of both sides of the equation:
p = √(6.71cm^2)
Using a calculator, we evaluate the square root:
p ≈ 2.59cm
Therefore, the length of side p in ∆PQR is approximately 2.59cm.