Question

if the angles of a triangle are in the ratio of 2:2:5, then the triangle is.

A) A right triangle
B) An acute triangle
C) An isosceles triangle
D) An equilateral triangle​

Answer 1

Option B is correct

Given anglesof a triangle are

in the ratio 2:5:2

Sum \: of \: the \:ratio = 2 + 5 + 2 = 9Sumoftheratio=2+5+2=9

\begin{gathered} 9 \:parts = 180\degree \\ \blue {( Angle \:sum \: property )}\end{gathered}

9parts=180°

(Anglesumproperty)

\implies 1 \: part = \frac{180}{9} = 20⟹1part=

9

180

=20

First \:angle = 2 \:parts = 2\times 20 = 40\degreeFirstangle=2parts=2×20=40°

Second\:angle = 5 \:parts = 5\times 20 = 100\degreeSecondangle=5parts=5×20=100°

Third \:angle = 2 \:parts = 2\times 20 = 40\degreeThirdangle=2parts=2×20=40°

\begin{gathered} 40\degree, \:100\degree \:and \:40\degree \:are \: three \:angles \:of \: given \\triangle . \end{gathered}

40°,100°and40°arethreeanglesofgiven

triangle.

\therefore It \:is \: Obtuse \:angled ,\: isosceles \: triangle∴ItisObtuseangled,isoscelestriangle

Answer 2

Answer:

Isosceles triangle

Step-by-step explanation:

Note: a triangle whose only two sides are equal than it is said to be isosceles triangle.