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Natalka [10]
4 years ago
11

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

Mathematics
2 answers:
Oliga [24]4 years ago
7 0

Answer:

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.

Galina-37 [17]4 years ago
3 0

3+7+10=20

180/20=9

3x10=90

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