Geometry Practice Test 5

Question : 23 of 40

Marks: +1, -0

If one angle is the average of the other two angles and the difference between the greatest and the least angles is 60°, then the formed triangle is called _____.

an isosceles triangle
an equilateral triangle
a right angled triangle
a right angled isosceles triangle

Validate

Solution:

x − y = 60°
y = x + 60
Z =

{x+y}/2

{2x+60}/2

= x + 30

In ΔABC,
∠A +∠B+∠C = 180°
x° + x + 60° + x + 30° = 180°
3x = 180 − 90
3x = 90
x = 30°
y = x + 60 = 90°
z = x + 30° = 60°
So, the triangle is a right angled triangle.

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