Question

Find side A of a triangle with a B length of 7 and a C length of 25

A) 24
B) 19
C) 8
D) 30

Answer 1

A

Explanation:

C - B < A < C + B

25 - 7 < A < 25 + 7

18 < A < 32

A can have any length between 10 and 32.

In case it's a right angle triangle,

A² = 25² - 7²

A² = 576

A = 24

Answer 2

A 24

Explanation:

Assuming this is a right triangle, we can use the Pythagorean theorem

a^2+ b^2 = c^2

a^2 + 7^2 = 25^2

a^2 +49= 625

Subtract 49 from each side

a^2 +49-49 = 625-29

a^2 = 576

Take the square root of each side

sqrt(a^2) = sqrt(576)

a = 24