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6. In right triangle ABC, mZC=3y-10,
m/B=y+ 40, and mZA= 90. What type of right
triangle is triangle ABC?
1) scalene
isosceles
3) equilateral
6 Dear
4) obtuse
32.5
y +40

Respuesta :

calculista

Answer:

scalene

Step-by-step explanation:

step 1

Find the value of y

we know that

The sum of the interior angles in a triangle must be equal to 180 degrees

In this problem

m∠A+m∠B+m∠C=180°

substitute the given values

[tex]90\°+(y+40)\°+(3y-10)\°=180\°[/tex]

Solve for y

[tex]4y+120=180[/tex]

[tex]4y=180-120[/tex]

[tex]4y=60[/tex]

[tex]y=15[/tex]

step 2

Find the measure of angle B

m∠B=(y+40)°

substitute the value of y

m∠B=(15+40)=55°

step 3

Find the measure of angle C

m∠C=(3y-10)°

substitute the value of y

m∠C=(3(15)-10)=35°

The three interior angles are different

so

The three sides of the ABC triangle will also be different

therefore

The right triangle ABC is scalene

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