Sides given: find the area or a half-angle ratio using s and Heron's formula

1. A.
   $5,12,13$
2. B.
   $10,24,26$
3. C.
   $15,36,39$
4. D.
   $20,48,52$

Tap an option to check your answer.

1. A.
   $\frac{4}{5}$
2. B.
   $\frac{3}{5}$
3. C.
   $\frac{1}{2}$
4. D.
   $\frac{4}{7}$

Tap an option to check your answer.

1. A.
   $1155$
2. B.
   $1255$
3. C.
   $1355$
4. D.
   $1055$

Tap an option to check your answer.

1. A.
   $\dfrac{3}{5}$
2. B.
   $\dfrac{7}{5}$
3. C.
   $\dfrac{4}{5}$
4. D.
   $\dfrac{12}{5}$

Tap an option to check your answer.

1. A.
   $\dfrac{14}{5\sqrt{5}}$
2. B.
   $\dfrac{\sqrt{5} + 4}{5}$
3. C.
   $\dfrac{5 + \sqrt{5}}{5}$
4. D.
   $\dfrac{2}{\sqrt{5}} + \dfrac{1}{2}$

Tap an option to check your answer.

1. A.
   $4 : 3 : 14$
2. B.
   $14 : 4 : 3$
3. C.
   $3 : 4 : 14$
4. D.
   $4 : 14 : 3$

Tap an option to check your answer.

1. A.
   $\dfrac{3}{4\Delta}$
2. B.
   $\left(\dfrac{3}{4\Delta}\right)^2$
3. C.
   $\dfrac{45}{4\Delta}$
4. D.
   $\left(\dfrac{45}{4\Delta}\right)^2$

Tap an option to check your answer.

1. A.
   $\dfrac{10}{\sqrt{3}}$
2. B.
   $\dfrac{10}{3}$
3. C.
   $\dfrac{5}{\sqrt{3}}$
4. D.
   $\dfrac{\sqrt{3}}{10}$

Tap an option to check your answer.