All categories

1 year ago

The length of two sides of triangle are 4cm and 5cm. Between what two

Mathematics

1 answer:

Elanso [62]1 year ago

5 0

Answer:

1 and 9

Step-by-step explanation:

By the Triangle Inequality Theorem, the sum of two side lengths of a triangle is always greater than the length of the third side.

In other words, in a triangle with side lengths $a, b,$ and $c,$ we always have $a+b > c.$

Applying this to this question, the other side length, $x,$ must satisfy the following inequalities:

$4+5 > x,\\x+5 > 4,\\x+4 > 5.$

Solving these inequalities gives

$x < 9,\\x > -1,\\x > 1.$

Combining these solutions, we have $1 < x < 9.$ Therefore, the length of the third side falls between 1 and 9.

You might be interested in

A triangle with side lengths of 5, 5, and 8 is:

Volgvan

Your answer is c, an obtuse triangle because if the two side lengths are the same length along with a longer side, it become obtuse
let me know if you have any other questions
:)

6 0

2 years ago

Solve for a side in right triangles

natita [175]

Answer:

2.30

Step-by-step explanation:

The side of interest is opposite the given angle, and the hypotenuse is given. The sine relation tells you ...

sin(A) = a/c

a = c·sin(A) = 3·sin(50°)

a = BC ≈ 2.2981 ≈ 2.30

5 0

3 years ago

8. Mrs. Reyes has 4 mangoes, 5 guavas, and 2 bananas in her basket. What is the probability that one can pick a guava?

gregori [183]

8) 5 + 4 + 2 = 11

Since there are 5 guavas, the correct answer is B. 5/11

9) 3 + 4 = 7

Since there are 4 blue papers, the correct answer is A. 4/7

10) Count all of the numbers and add them. There are 4 twos, 2 fives, and 1 three:

4 + 2 + 1 = 7

Since there are 4 twos, the correct answer is C. 4/7

5 0

2 years ago

Joey made strawberry jam and raspberry jam. He made enough strawberry jam to fill 1/2 of a jar. If he made 2/5 as much raspberry

olga_2 [115]

Answer: 1/5 of a jar

Step-by-step explanation:

1/2 times 2/5= .2 = 1/5.

7 0

2 years ago

Read 2 more answers

ivolga24 [154]

Given:

Two jugs are similar. The smaller jug has radius 4 cm and the bigger jug has radius 6 cm and surface area 125 cm².

To find:

The area of the smaller jug.

Solution:

If two figures are similar, then the ratio of their areas is proportional to the square of the corresponding sides of the figures.

Two jugs are similar. So,

$\dfrac{\text{Area of smaller jug}}{\text{Area of bigger jug}}=\dfrac{(\text{Radius of smaller jug})^2}{(\text{Radius of bigger jug})^2}$

$\dfrac{\text{Area of smaller jug}}{125}=\dfrac{(4)^2}{(6)^2}$

$\dfrac{\text{Area of smaller jug}}{125}=\dfrac{16}{36}$

$\text{Area of smaller jug}=\dfrac{4}{9}\times 125$

$\text{Area of smaller jug}\approx 55.56$

Therefore, the area of the smaller jug is about 55.56 cm².

6 0

2 years ago

Read 2 more answers