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2 years ago

Find the value of x. The angle measures of a right triangle are 30°2x°3x°

Mathematics

2 answers:

Sergeeva-Olga [200]2 years ago

4 0

Answer:

x=30

Step-by-step explanation:

all interior angles in a triangle must equal 180 degrees

2x+30+90=180

2x+120=180

2x=60

x=30

you can check by substituting 30:

2(30)+30+90

60+30+90=180

another way to do this:

3x is an exterior angle

however it is a supplementary one as well

that means tht

3x+90=180

3x=90

x=30

you get the same answer either way

HOPE THIS HELPS!

Radda [10]2 years ago

3 0

Answer:

Step-by-step explanation:

Exterior angle equals sum of opposite interior angles

3x = 2x + 30

3x - 2x = 30

x = 30

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2 years ago

The base of a triangle is 9/4 times of its height. If the area of triangle is 144 cm2. Find the height and the base.

Mazyrski [523]

Step-by-step explanation:

Given that the base of triangle is 9/4 times of its height . And area is 144 cm² . Let the height be h , then its base be 9h/4 .

• According to Question :-

$\tt\to Area_{(\triangle)}=\dfrac{base\times height}{2}\\\\\tt\to 144cm^2 = \dfrac{9h\times h}{4\times 2 } \\\\\tt\to h^2 =\dfrac{12\times 12 \times 2 \times 2 }{3\times 3 }\\\\\tt\to h =\sqrt{\dfrac{12\times 12 \times 2 \times 2 }{3\times 3 }}\\\\\tt\to h =\dfrac{(12)(2)}{3} \\\\\tt\to \boxed{\orange{\tt h = 8 cm }}$

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Find the value of x. The angle measures of a right triangle are 30°2x°3x°​

Find the value of x. The angle measures of a right triangle are 30°2x°3x°