Does 2.1,7.2,7.5 make a right triangle

2.1 , 7.2 , 7.5 does NOT make a right triangle

Step-by-step explanation:

acute    

obtuse    

right angled  

c is the hypotenuse

a and b are the adjacent and the opposite

the values given are 2.1  , 7.2  , 7.5

hence :

c would be 2.1

a would be 7.2

b would be 7.5

now we can put this into the right angled triangle formula to see if its correct.

lets first see the value of

= 7.2^2  +  7.5^2

= 108.09

to check if its a right angled triangle we check if the value of c^2 gives 108.09.

find the value of

= 2.1 ^2

=4.41

hence 4.41 is NOT equal to 108.09

hence its not a right angled triangle but rather an acute angle.

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°