What is the value of p?
A right triangle with angles measuring 45, 45 and 90 and a leg measuring P and hypotenuse measuring 44
22
22 sqrt 2
44
44 sqrt 3
It always helps to know how...thanks
here's the answers to the quick check.
1. D
2. A
3. B
4. B
5. C
by the way, Plum is correct. The answer is 22 sq rt 2
22 sq rt 2
Pythagoras theorem
hyp^2 = b^2 + c^2
where b and c are the other two sides
As it is a triangle with two 45 degree angles then b and c would be the same. In this case, P
So you get
hyp^2 = P^2 + P^2
See how you get on with the question now.
so what was the answer?
To find the value of P in a right triangle with angles measuring 45, 45, and 90 degrees, and a hypotenuse measuring 44 units, we can use the trigonometric ratios.
In a right triangle, the sine, cosine, and tangent ratios can be used to relate the angles and sides. For this particular triangle, since we know the measure of the angles, we can use the sine ratio.
The sine of an angle is defined as the ratio of the length of the side opposite the angle to the hypotenuse. In this case, one of the legs of the triangle measures P, and the hypotenuse measures 44 units.
The sine of 45 degrees can be calculated as sin(45) = opposite/hypotenuse. Since the opposite side measures P and the hypotenuse measures 44, we have sin(45) = P/44.
Solving this equation for P, we get P = 44 * sin(45).
Now we need to find the value of sin(45). The sine of 45 degrees is a special ratio equal to sqrt(2)/2.
Substituting this value into our equation, P = 44 * sqrt(2)/2.
Simplifying the expression, we have P = 22 * sqrt(2).
Therefore, the value of P is 22 * sqrt(2).
So, the correct answer is 22 sqrt(2).