In a scalene triangle, one side exceeds the other two sides by 4 cm and 5 cm, respectively, and the perimeter of the triangle is 36 cm. Find the area of the triangle in cm 2.

Question

In a scalene triangle, one side exceeds the other two sides by 4 cm and 5 cm, respectively, and the perimeter of the triangle is 36 cm. Find the area of the triangle in cm 2. (A) 63 (B) 9 √10 (C) 18 √10 (D) 12 √21

Tardigrade Admin · Accepted Answer

(i) Consider the sides of triangle as a, a+4 and a+5. (ii) Consider the sides as a, a-4 and a-5. (iii) Given, perimeter =36 and evaluate sides. (iv) Find the area by Heron's formula.

Q. In a scalene triangle, one side exceeds the other two sides by $4 c m$ and $5 c m$ , respectively, and the perimeter of the triangle is $36 c m$ . Find the area of the triangle in $c m^{2}$ .

63

$910$

$1810$

$1221$

(i) Consider the sides of triangle as $a, a + 4$ and $a + 5$ .
(ii) Consider the sides as $a, a - 4$ and $a - 5$ .
(iii) Given, perimeter $= 36$ and evaluate sides.
(iv) Find the area by Heron's formula.

Q. In a scalene triangle, one side exceeds the other two sides by 4cm and 5cm, respectively, and the perimeter of the triangle is 36cm. Find the area of the triangle in cm2.

63

910​

1810​

1221​

(i) Consider the sides of triangle as a,a+4 and a+5. (ii) Consider the sides as a,a−4 and a−5. (iii) Given, perimeter =36 and evaluate sides. (iv) Find the area by Heron's formula.

Q. In a scalene triangle, one side exceeds the other two sides by $4 c m$ and $5 c m$ , respectively, and the perimeter of the triangle is $36 c m$ . Find the area of the triangle in $c m^{2}$ .

$910$

$1810$

$1221$

(i) Consider the sides of triangle as $a, a + 4$ and $a + 5$ .
(ii) Consider the sides as $a, a - 4$ and $a - 5$ .
(iii) Given, perimeter $= 36$ and evaluate sides.
(iv) Find the area by Heron's formula.