(a)Acute angled (b)Obtuse angled (c) Right angled (d) Triangle can not

1.	(a)Acute angled (b)Obtuse angled (c) Right angled (d) Triangle can not be possibleTHESE OPTIONS ARE GIVEN IN MY BOOK
Answer» Option is (b) obtuse angled triangle. Explanation Given ratio of the sides =2:6:7 Let the sides are 2x,6x and 7x unit. Square of the longest side =49x² Sum of the square of other two sides are = 4x²+36x²=40x² If this is 49x² then by Pythagoras theorem the triangle would be right triangle. But the sum is less than 49x². So the triangle is obtuse one. Mnemonic If a,b,c are three sides of a triangle such that c is the longest side then When c² = a²+b² -> triangle is rt angled When c² > a² +b² -> triangle is obtuse angled When c² < a²+b²-> triangle is acute angled

(a)Acute angled (b)Obtuse angled (c) Right angled (d) Triangle can not be possibleTHESE OPTIONS ARE GIVEN IN MY BOOK

Answer»

Option is (b) obtuse angled triangle.

Explanation

Given ratio of the sides =2:6:7

Let the sides are 2x,6x and 7x unit.

Square of the longest side =49x²

Sum of the square of other two sides are = 4x²+36x²=40x²

If this is 49x² then by Pythagoras theorem the triangle would be right triangle.

But the sum is less than 49x². So the triangle is obtuse one.

Mnemonic

If a,b,c are three sides of a triangle such that c is the longest side then

When c² = a²+b² -> triangle is rt angled

When c² > a² +b² -> triangle is obtuse angled

When c² < a²+b²-> triangle is acute angled

Discussion

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