Question

Kevin drew a triangle with angle measures of 30 degrees and 40 degrees and side measures of 5 cm, 7cm, and 8 cm. Explain, using sides and angles, which type of triangle Kevin drew.

Answer 1

Kevin draws a triangle with angle measures of 30 degrees and 40 degrees.

Two angle measures of triangle are given. Let us find the measure of third angle.

By angle sum property, which states that " the sum of all three measures of a triangle is 180 degrees".

Let the third angle be 'x'

So, $30^{\circ}+40^{\circ}+ x = 180^{\circ}$

$x = 110^{\circ}$

So, he draws a triangle with angle measures as 30 degree, 40 degree and 110 degree and and side measures of 5 cm, 7 cm, and 8 cm.

By using the given fact :

"A triangle is scalene if all of its three sides are different (all the three angles are also different).

Therefore, Kevin draws a scalene triangle as all the angles are of different measures and all the sides are of different measurements.

Answer 2

He drew a scalene triangle
A scalene triangle is where all side measure and all angle measure are different.