Answer:
No
Step-by-step explanation:
<u>Given </u><u>:</u><u>-</u><u> </u>
- A triangle with some side measure .
- The sides are 4 ,6,7.
And we need to tell whether it is a right angled triangle or not . It will be a right angled triangle if it follows the Pythagoras Theorem.
<u>Pythagoras</u><u> Theorem</u><u> </u><u>:</u><u>-</u><u> </u>
- In right angle triangle the sum of squares of the two smallest sides is equal to the square of the largest side .
Here the two smallest sides are 4 & 6 .
<u>Sum </u><u>of </u><u>Squares </u><u>of </u><u>4</u><u> </u><u>and </u><u>6</u><u> </u><u>:</u><u>-</u><u> </u>
4² + 6²
24 + 36
60
<u>Square</u><u> </u><u>of </u><u>7</u><u> </u><u>:</u><u>-</u><u> </u>
7²
49
<u>And </u><u>:</u><u>-</u><u> </u>
- They aren't equal. So the triangle is not a right angled triangle .
<u>Hence </u><u>the triangle is not a right angle triangle</u><u>.</u>
Answer: y=-5/4x+7
Step-by-step explanation: You can see, by looking at the graph, that the slope will be negative, so you can eliminate the options with a positive slope. You can take the first point (0,7) and the second point (4,2) and calculate the slope (the change in y divided by the change in x). 7-2 is five, so that gives us our numerator of the slope. 0-4 is -4, so that gives us our denominator. That gives us a slope of -5/4, so the only answer with that slope is the third option, y=-5/4+7. I hope this helps!
Answer:
so far i got A and C
Step-by-step explanation:
if its incorrect im sorry
Answer:
128 in.
Step-by-step explanation:
1 ft = 12 in
10 x 12 = 120
120 + 8 = 128
128 in.
x = 32, y = 11.31, z = 33.94
Step-by-step explanation:
Step 1: Let the triangle be ΔABC with B as the right angle. Let the hypotenuse be intersected by the altitude drawn from B at D. So there are 3 triangles, ΔABC, ΔADB and ΔBDC.
Step 2: To find x, y and z, use Pythagoras theorem where square of hypotenuse is equal to sum of squares of the other two sides of the right triangle.
Step 3: Make equations based on the theorem for all 3 triangles.
In ΔABC, (4+x)² = 12² + z²
⇒ 16 + 8x + x² = 144 + z²
⇒ x² + 8x - z² = 128 --------- (1)
In ΔADB, 12² = 4² + y²
⇒ 144 = 16 + y²
⇒ y² = 128 ------- (2)
In ΔBDC, z² = x² + y²
⇒ z² = 128 + x² ------ (3)
Substituting (3) in (1) ⇒ x² + 8x - (128 + x²) = 128
⇒ x² + 8x - 128 - x² = 128
⇒ 8x = 256
⇒ x = 32
From (3), z² = 128 + 32² = 128 + 1024 = 1152
⇒ z = 33.94
From (2), y² = 128
⇒ y = 11.31