calculate the area of the shaded region in☝️
(its urgent)(use herons formula)
![](https://hi-static.z-dn.net/files/d26/9452583a681ad65834084680d7b4bfdf.jpg)
Answers
Answer:
1074 m²
Step-by-step explanation:
First we need to find the area of the larger triangle.
Given, sides of larger triangle(a, b, c) are 120 m, 122 m, 22 m
Semi-perimeter = (120+122+22)/2
= 264/2
= 132 m//
According to Heron's Formula:
(pair the like numbers and take out of square root)
= 3 x 2 x 11 x 2 x 2 x 5
= 1320 m²//
Now we need to find the area of the smaller triangle
Given, sides of the smaller triangle (a, b, c) are 26 m, 24 m, 22 m
Semi-perimeter = (26+24+22)/2
= 72/2
= 36 m//
Apply heron's formula and find area
Area of shaded figure = area of larger triangle - area of smaller triangle
= 1320 - 24√105
approx. value of √105 = 10.25
area = 1320 - 24(10.25)
= 1074 m²//
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