Answer:
see explanation
Step-by-step explanation:
Using Pythagoras' theorem, that is
The square on the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides.
Using x instead of ?
(a)
The hypotenuse is the side opposite the right angle, that is 74, thus
24² + x² = 74²
576 + x² = 5476 ( subtract 576 from both sides )
x² = 4900 ( take the square root of both sides )
= 
x = 70
----------------------------------------------------------------------
(b)
The hypotenuse x is the unknown side here
x² = 40² + 40² = 1600 + 1600 = 3200
Take the square root of both sides
= 
≈ 56.6 ( nearest tenth )
Answer:
1) Yes, it is a right angle triangle
2)Yes, it is a right angle triangle
3) No, they are not similar.
Step-by-step explanation:
Dimension of triangle A = 48, 55 & 73
Dimension of triangle B = 36, 77 & 85
For any of the triangles to be a right angled one, then;
c = √(a² + b²)
Where a,b & c are side dimensions of a triangle.
Thus;
Triangle A: c = √(48² + 55²)
c = √5329
c = 73
This tallies with what we are given and so it is a right angled triangle.
Triangle B: c = √(36² + 77²)
c = √(7225)
c = 85
Similar to the third side dimension of 85, thus it is true.
For Triangle A & B to be similar, the ratio of the 3 corresponding sides must be in a whole number ratio.
Thus, we have;
48/36 = 1.5
55/77 = 5/7
73/85 = 73/85
Since the ratios are not similar, then we can say that the triangles are not similar.
Answer:
I got -3+11x
Step-by-step explanation:
-3(1-3x)+2x
-3+9x+2x
-3+11x
The height of the heater is about 89.3 in.
You can solve this problem with the Pythagorean Theorem. The base is a square. So half way across the middle will the right under the tip of the pyramid. We can use the measurement with the slant height to write and solve the equation below.
23.8^2 + x^2 = 90.1^2
x will be about 89.3.
Set each binomial equal to zero to solve.
2n + 3 = 0
2n = - 3
n = - 3 / 2
n - 4 = 0
n = 4
So n = -3/2, 4
