The dimensions of a triangle are 13, 13, and 24. What is the area in square units of this triangle?
A) 30 B) 60 C) 90 D) 156 E) 312
Hello, sri340!
Obviously, you didn't make a sketch . . .
The dimensions of a triangle are 13, 13, and 24.
What is the area of this triangle?
. . A) 30 . . B) 60 . . C) 90 . . D) 156 . . E) 312Code:* 13 * | * 13 * |h * * | * * - - - - - - - * - - - - - - - * 12 12
The base of this triangle is 24.
Can you find the height $\displaystyle h$ ?
In a test situation, a sketch as Soroban suggested would have helped immensely, & you probably could have solved it immediately.
Alternatively, use could use Heron's formula
Area = $\displaystyle \sqrt{s(s-a)(s-b)(s-c)}$
s = $\displaystyle \dfrac{ 13+13+24 }{2} $ = 25
Area = $\displaystyle \sqrt{25 (25-13)(25-13)(25-24)}$
Area = $\displaystyle \sqrt{25 \cdot 12 \cdot 12 \cdot 1 }$
.You should not require a calculator to extract that square root.