Triangles Problem Solving Practice Problems Online

As shown in the above diagram, Raj folds a rectangular paper $ABCD$ in such a way that side $BC$ becomes $BE.$ If the length of $\overline{AB}$ is $3$ and the length of $\overline{BC}$ is $15,$ what is the area of $\triangle ABF?$

Note:The above diagram is not drawn to scale.

\压裂{54}{5}

\frac{216}{25}

\frac{441}{25}

\frac{63}{5}

In the above diagram, we are given $\angle BAC=90^\circ, \angle ACD=75^\circ, \angle CBD=75^\circ, \angle BDE=110^\circ.$ What is $\angle ABC$ in degrees?

In right triangle $ABC$ , we are given that $\angle ABC = 90^\circ$ and $AC= 34$ . $D$ is a point on line segment $BC$ such that $BD=12, DC=18$ . What is the length of $AD$ ?

In the above diagram, the ratio of the length of $\overline{AD}$ to the length of $\overline{DC}$ is $3:2.$ If the area of $\triangle ABE$ is $13,$ what is the area of $\triangle BEC ?$

Note:The above diagram is not drawn to scale.

\frac{29}{3}

\frac{26}{3}

\frac{23}{3}

\frac{32}{3}

In triangle $ABC$ , we have $AB = 47, BC = 48, CA = 49$ . Points $D, E,$ and $F$ 的中点 $BC, CA,$ and $AB$ respectively. What is the perimeter of triangle $DEF$ ?

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Triangles Problem Solving

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