If three angles of a triangle are in the ratio 3: 7: 10, show that triangle is right –
angled.
pl solve

3+7+10=20

180/20=9

3x10=90

A right angled triangle is a triangle that has one if its angle to be 90°

Step-by-step explanation:

A right angled triangle is a triangle that has one of its angle as 90°.

Also note that the sum of angle in a triangle is 180°.

To show that the triangle that has its angles divided in the ratio 3:7:10 is right angled, then we must show that one of its angle is 90°.

Step 1: We will add all the value of the ratio together to get the total ratio.

The total ratio = 3+7+10 = 20

Step2: we will get individual angles in the triangle.

For the one with lowest angle we will have;

3/20×180°

= 3×9

= 27°

For the angle with ratio of 7;

7/20×180°

= 7×9

= 63°

Fie the angle with ratio of 10;

10/20×180°

= 10×9

= 90°

Since one the angles is 90° this shows that the triangle is a right angled triangle.

2

step-by-step explanation:

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.