The perimeter of a triangle is 42 yards. the first side is 5 yards less than the second side, and the third side is 2 yards less than the first side. what is the length of each side?

First side = 13 yarsd

Second side = 18 yards

third side = 11 yards

Step-by-step explanation:

Let the second side of the triangle be x.

Then the first side must be

and the third side must be

We know that the perimeter of triangle = Sum of all sides .

Therefore, we have

Hence, the length of second side = 18 yards

The length of first side = 18-5=13 yards

The length of third side = 13-2=11 yards

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°

you'll just earn points here

step-by-step explanation: