How many different triangles can be constructed with side measurements 6 centimeters, 9 centimeters, and 13 centimeters? a. exactly one triangle b. more than one triangle c. no triangles

Option (A) is correct.

Exactly one triangle can be made using sides measurements 6 centimeters, 9 centimeters, and 13 centimeters.

Step-by-step explanation:

Given : sides measurements 6 centimeters, 9 centimeters, and 13 centimeters.

We have to find how many different  triangles can be made using given dimensions.

Since, a triangle is a two dimensional figure having three sides.

Here, three sides are given and are fixed.

So, when three sides of a triangle are fixed we can only draw exactly one triangle.

Thus, Exactly one triangle can be made using sides measurements 6 centimeters, 9 centimeters, and 13 centimeters.

Option (A) is correct.

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

salary

step-by-step explanation: