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RoseWind [281]
3 years ago
10

A triangle has sides 12cm, 9cm and 15cm. Is the triangle right-angled? Justify your answer

Mathematics
1 answer:
marusya05 [52]3 years ago
3 0

Answer:

yes

Step-by-step explanation:

Yes this triangle is right angled and can be justified using the Pythagorean theorem. The theorem states that: a^{2} +b^{2} = c^{2}. Substitute using the given values:

(9^2)+(12^2)=15^2

81 + 144 = 255

255 = 255.

It satisfies the theorem therefore it is a right angle triangle.

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The smallest number that has 3,7 and 11 as prime factors
andreyandreev [35.5K]

Answer:

231

Step-by-step explanation:

Since prime numbers are always relatively prime, we can just multiply them together. 3*7*11=21*11=231

4 0
3 years ago
If a car is going 60 mph how far will it go in ana hour and a half
alekssr [168]

You can figure out this problem by multiplying 60 by 1.5


60x1.5=90


The car will go 90 miles in an hour and a half.

6 0
3 years ago
How many different ways can 5 identical tubes of tartar control toothpaste, 3 identical tubes of bright white toothpaste, and 4
Pavlova-9 [17]
(12!)/(5!*4!*3!) = 27720
8 0
3 years ago
1. Find the value of x.<br> 55°<br> (4x - 5)°<br> O<br> 26<br> O
Paha777 [63]

Answer:

26

Step-by-step explanation:

The sum of angles in a triangle is 180 degrees, use this and set up an equation;

x + ( 4x -5 ) + 55 = 180

Simplify

x + ( 4x - 5 ) + 55 = 180

5x + 50 = 180

Inverse operations;

5x + 50 = 180

    -50     - 50

5x = 130

/5    /5

x = 26

7 0
3 years ago
If B is the midpoint of AC, AC=CD, AB=3x+4, AC=11x-17, and CE=49, find DE.
Luba_88 [7]

Answer:

11

Step-by-step explanation:

AB = 3x + 4 and AC which is twice of AB is equal to 11x - 17

2 (3x + 4) = 11x - 17

6x + 8 = 11x - 17

8 + 17 = 11x - 6x

25 = 5x

5 = x

AC = CD = 11x - 17 ➡ 11×5 - 17 = 38

CD = 38 and DE = 49 - 38 = 11

6 0
3 years ago
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