Question

Part 1: Draw an example of an isosceles obtuse triangle and a scalene acute triangle Label the sides and angles of each triangle Part 2: A triangle can never be an equilateral obtuse triangle. Why? Part 3: Right triangles appear in many places in the real world Think of a place you see a right triangle in your everyday life Use a measuring tape or a ruler to measure t legs of the triangle. Find the hypotenuse of the triangle using the Pythagorean Theorem.

Answer 1

Part 1:

- In a isosceles obtude triangle, two sides have the same length and one angle is more than 90°.

- In a scalene acute triangle all sides have different lengths and all angles are lower than 90°.

Part 2:

A triangle can never be an equilateral obtuse triangle, because the angle greater tahn 90° demands that the sides of the triangle have different lengths.

Part 3:

The shadow projected by a pencil, the height of the pencil and an imaginary line which connect the tall of the pencil and the edge of the shadow, is an example of a right triangle.

By measuring the length of the pencil and the length of the shadow, you obtain:

c1: length of the pencil = 12 cm

c2: length of the shadow = 15 cm

h: hypotenuse

Use the Pythagorean theorem to find h: