Advertisements
Advertisements
Question
Calculate the angles of a triangle if they are in the ratio 4: 5: 6.
Advertisements
Solution
We know that sum of angles of a triangle is 180°
∴ ∠A + ∠B + ∠C = 180°
But ∠A: ∠B: ∠C = 4: 5: 6
Let ∠A = 4x, ∠B = 5x and ∠C = 6x,
then 4x + 5x + 6x = 180°
⇒ 15x = 180°
⇒ x = `(180°)/15=12°`
∴ ∠A = 4x = 4 × 12° = 48°
∠B = 5x = 5 × 12° = 60°
∠C = 6x = 6 × 12° = 72°
APPEARS IN
RELATED QUESTIONS
In a ΔABC, if ∠A = 55°, ∠B = 40°, find ∠C.
Compute the value of x in the following figure:
In the given figure, AE bisects ∠CAD and ∠B= ∠C. Prove that AE || BC.
If one angle of a triangle is equal to the sum of the other two angles, then the triangle is
Find x, if the angles of a triangle is:
x°, x°, x°
Classify the following triangle according to angle:
The length of the three segments is given for constructing a triangle. Say whether a triangle with these sides can be drawn. Give the reason for your answer.
15 cm, 20 cm, 25 cm
If an angle of a triangle is equal to the sum of the other two angles, find the type of the triangle
O is a point in the interior of a square ABCD such that OAB is an equilateral triangle. Show that ∆OCD is an isosceles triangle.
The sides of a triangle must always be connected so that:
