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Properties of Triangles

Properties of Triangles: Level 1 Challenges

Triangle $ABC$ has the property that $\angle A+\angle B= \angle C$ . Find the measure of $\angle C$ in degrees.

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by Parth Lohomi

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A right triangle has a leg of length $7\text{ m}$ and an area of $84\text{ m}^2$ . What is its perimeter?

56\text{ m}

49\text{ m}

70\text{ m}

84\text{ m}

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by Chung Kevin

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In $ABC$ , sides $AB$ and $AC$ are equal in length and $\angle A$ measures $80^\circ$ .

If the points D, E, and F are on sides BC, CA, and AB respectively, such that $CE= CD,BF=BD$ , then what is $\angle EDF$ ?

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by Lim Zi Heng

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The sides of a right triangle are $a$ , $a+d$ and $a+2d$ with $a$ and $d$ both positive. What is the value of $a:d$ ?

Note: Image drawn not up to scale.

2:1

3:1

1:4

1:3

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by Sahba Hasan

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Arjit drew an isosceles right angled triangle on the board. What is the measure of the base angle?

180^\circ

45^\circ

60 ^ \circ

90^\circ

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by Calvin Lin

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