Name the following triangle in two different ways.(you may judge the nature of the angle by observation)

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Solution

$(i)$ . Since one angle of the given triangle is greater than $90^{o}$ . Hence given triangle is obtuse angled triangle.

$(i i)$ Also two sides of given triangle is equal( $7 c m$ each). So, given triangle is also an isosceles triangle.

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Which of the following statements are true (T) and which are false (F):

(i) Sides opposite to equal angles of a triangle may be unequal.

(ii) Angles opposite to equal sides of a triangle are equal.

(iii) The measure of each angle of an equilateral triangle is $60^{\circ}$

(iv) If the altitude from one vertex of a triangle bisects the opposite side, then the triangle may be isosceles.

(v) The bisectors of two equal angles of a triangle are equal.

(vi) If the bisector of the vertical angle of a triangle bisects the base, then the triangle may be isosceles.

(vii) The two altitudes corresponding to two equal sides of the triangle need not be equal

(viii) If any two sides of a right triangle are respectively equal to two sides of another right triangle, then the two triangles are congruent.

(ix) Two right triangles are congruent if hypotenuse and a side of one triangle are respectively equal to the hypotenuse and a side of the other triangle.

Name the following triangle in two different ways: (You may judge the nature of angle by observation)

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Name the following triangle in two different ways.(you may judge the nature of the angle by observation)

(i). Since one angle of the given triangle is greater than 90o. Hence given triangle is obtuse angled triangle.(ii) Also two sides of given triangle is equal(7cm each). So, given triangle is also an isosceles triangle.

$(i)$ . Since one angle of the given triangle is greater than $90^{o}$ . Hence given triangle is obtuse angled triangle.

$(i i)$ Also two sides of given triangle is equal( $7 c m$ each). So, given triangle is also an isosceles triangle.