Advertisements
Advertisements
प्रश्न
Calculate the angles of a triangle if they are in the ratio 4: 5: 6.
Advertisements
उत्तर
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
संबंधित प्रश्न
Calculate the unknown marked angles of the following figure :
Find x, if the angles of a triangle is:
2x°, 4x°, 6x°
Classify the following triangle according to sides:
Classify the following triangle according to angle:
The exterior angle of a triangle is equal to the sum of two
The angles of the triangle are 3x – 40, x + 20 and 2x – 10 then the value of x is
In ΔABC, name the 
a) Three sides: _________, __________, __________
b) Three Angles: _________, __________, __________
c) Three Vertices: _________, __________, __________
S is any point on side QR of a ∆PQR. Show that: PQ + QR + RP > 2PS.
In the following figure, PQ ⊥ RQ, PQ = 5 cm and QR = 5 cm. Then ∆PQR is ______.
Can we have two acute angles whose sum is an acute angle? Why or why not?
