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11. Find the area of the triangle: a = 75.4, b = 52, c = 52

11. Find the area of the triangle: a = 75.4, b = 52, c = 52

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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### Triangle Area Calculation Problems **11. Find the area of the triangle:** - \( a = 75.4 \) - \( b = 52 \) - \( c = 52 \) **12. Find the area of the triangle:** - \( a = 3.05 \) - \( b = 0.75 \) - \( c = 2.45 \) #### Instructions To find the area of these triangles, you can use Heron's formula: 1. Calculate the semi-perimeter \( s \) using the formula: \[ s = \frac{a + b + c}{2} \] 2. Use Heron's formula to find the area \( A \): \[ A = \sqrt{s(s-a)(s-b)(s-c)} \] Substitute the given side lengths into the formulas to determine the area for each triangle.
Transcribed Image Text:### Triangle Area Calculation Problems **11. Find the area of the triangle:** - \( a = 75.4 \) - \( b = 52 \) - \( c = 52 \) **12. Find the area of the triangle:** - \( a = 3.05 \) - \( b = 0.75 \) - \( c = 2.45 \) #### Instructions To find the area of these triangles, you can use Heron's formula: 1. Calculate the semi-perimeter \( s \) using the formula: \[ s = \frac{a + b + c}{2} \] 2. Use Heron's formula to find the area \( A \): \[ A = \sqrt{s(s-a)(s-b)(s-c)} \] Substitute the given side lengths into the formulas to determine the area for each triangle.
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