Question

area (multistep) score: 0.5 penalty: none question in △klm, k = 50 cm, l = 78 cm and m = 52 cm. find the area of △klm to the nearest 10th of a square centimeter. answer attempt 1 out of 2 show examples watch video

Explanation:

Step1: Recall triangle - area formula

The area formula for a triangle is $A=\frac{1}{2}kl\sin M$.

Step2: Substitute given values

We are given $k = 50$ cm, $l=78$ cm, and $M = 52^{\circ}$. First, find $\sin(52^{\circ})\approx0.788$. Then, substitute into the formula: $A=\frac{1}{2}\times50\times78\times0.788$.

Step3: Calculate the area

$\frac{1}{2}\times50\times78\times0.788 = 25\times78\times0.788=1950\times0.788 = 1536.6$ square - centimeters.

Answer:

$1536.6$ square centimeters