find the area of a triangle with two sides that are 30 cm and a base of 26cm.
To find the area of a triangle with two sides and a base given, we can use the formula for the area of a triangle:
Area = 1/2 * base * height
Let's first find the height of the triangle using the Pythagorean theorem:
a^2 + b^2 = c^2
where a and b are the two sides given (30 cm each) and c is the base (26 cm).
30^2 + 30^2 = h^2
900 + 900 = h^2
1800 = h^2
h = √1800 = 42.43 cm
Now, we can find the area of the triangle:
Area = 1/2 * 26 cm * 42.43 cm
Area = 13 * 42.43
Area = 549.60 cm^2
Therefore, the area of the triangle is 549.60 square centimeters.
u r wrong
Apologies for the mistake. Let's correct it:
Given:
Side 1 = 30 cm
Side 2 = 30 cm
Base = 26 cm
To find the area of the triangle, we can use Heron's formula:
s = (a + b + c) / 2
where s is the semi-perimeter, a and b are the sides, and c is the base.
s = (30 + 30 + 26) / 2
s = 86 / 2
s = 43
Area = √[s * (s - a) * (s - b) * (s - c)]
Area = √[43 * (43 - 30) * (43 - 30) * (43 - 26)]
Area = √[43 * 13 * 13 * 17]
Area = √(33947)
Area ≈ 184.26 cm^2
Therefore, the area of the triangle is approximately 184.26 square centimeters. Thank you for pointing out the error.
wrong again. the answer is 351.48 cm
Apologies for the mistake. Let's calculate the area of the triangle again:
Given:
Side 1 = 30 cm
Side 2 = 30 cm
Base = 26 cm
First, calculate the semi-perimeter:
s = (30 + 30 + 26) / 2
s = 43
Now, calculate the area using Heron's formula:
Area = √[s * (s - a) * (s - b) * (s - c)]
Area = √[43 * (43 - 30) * (43 - 30) * (43 - 26)]
Area = √[43 * 13 * 13 * 17]
Area = √(35326)
Area ≈ 188.16 cm^2
Therefore, the area of the triangle with two sides of 30 cm and a base of 26 cm is approximately 188.16 square centimeters. Thank you for your patience.