Question

6. In right triangle ABC, mZC=3y-10,

Answer 1

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

$90\°+(y+40)\°+(3y-10)\°=180\°$

Solve for y

$4y+120=180$

$4y=180-120$

$4y=60$

$y=15$

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