Question

What is the area of the following figure if a = 13, b = 5, and c = 12?

Answer 1

Answer:

$A(\triangle)=30\: units^2$

Step-by-step explanation:

• Measures of the sides of the triangle are given as:
• a = 13, b = 5 and c = 12

• Now, find semi perimeter (s) of the triangle, it is given as below:

• $s=\frac{a+b+c}{2}=\frac{13+5+12}{2}=\frac{30}{2}=15$

• Formula for area of triangle is given as:

• $A(\triangle)=\sqrt{s(s-a)(s-b)(s-c)}$

• $\implies A(\triangle)=\sqrt{15(15-13)(15-5)(15-12)}$

• $\implies A(\triangle)=\sqrt{15(2)(10)(3)}$

• $\implies A(\triangle)=\sqrt{900}$

• $\huge{\orange{\implies A(\triangle)=30\: units^2}}$