Triangle Properties Challenge

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Triangle facts quiz

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jose gregorio sanchez de leon

Colombia

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Froggy Jumps Triangle Properties ChallengeOnline version Triangle facts quiz by jose gregorio sanchez de leon 1 What is the sum of interior angles in any triangle? a 90 degrees b 360 degrees c 180 degrees 2 Which inequality must hold for a triangle's sides a, b, c? a a > b + c b a + b > c c a + b < c 3 In a 30-60-90 triangle, which statement is true? a Short leg equals the hypotenuse b Hypotenuse equals the long leg c Hypotenuse is twice the short leg 4 In a 45-45-90 triangle, the hypotenuse is how many times a leg? a Leg × 2 b Leg × √2 c Leg × √3 5 What is Heron's formula for the area of a triangle with sides a, b, c? a Area = s(a+b+c) b Area = sqrt[s(s-a)(s-b)(s-c)] c Area = sqrt[(a+b+c)(s-a)(s-b) 6 In an isósceles triangle, which angles are equal? a All angles are equal b Base angles are equal c Vertex angle equals base angles 7 If two base angles of an isósceles triangle are 40°, what is the vertex angle? a 100° b 80° c 140° 8 Which set of sides can form a triangle: 3, 4, 8 or 5, 5, 9 or 3, 4, 6? a 5, 5, 9 b 3, 4, 6 c 3, 4, 8 9 True or False: An exterior angle equals the sum of the two opposite interior angles. a True b False c Depends on the triangle 10 Compute the area of a triangle with sides 5, 5, and 6 using Heron's formula. a 8 b 12 c 15

Froggy Jumps

Triangle Properties ChallengeOnline version

Triangle facts quiz

by jose gregorio sanchez de leon

What is the sum of interior angles in any triangle?

90 degrees

360 degrees

180 degrees

Which inequality must hold for a triangle's sides a, b, c?

a > b + c

a + b > c

a + b < c

In a 30-60-90 triangle, which statement is true?

Short leg equals the hypotenuse

Hypotenuse equals the long leg

Hypotenuse is twice the short leg

In a 45-45-90 triangle, the hypotenuse is how many times a leg?

Leg × 2

Leg × √2

Leg × √3

What is Heron's formula for the area of a triangle with sides a, b, c?

Area = s(a+b+c)

Area = sqrt[s(s-a)(s-b)(s-c)]

Area = sqrt[(a+b+c)(s-a)(s-b)

In an isósceles triangle, which angles are equal?

All angles are equal

Base angles are equal

Vertex angle equals base angles

If two base angles of an isósceles triangle are 40°, what is the vertex angle?

100°

80°

140°

Which set of sides can form a triangle: 3, 4, 8 or 5, 5, 9 or 3, 4, 6?

5, 5, 9

3, 4, 6

3, 4, 8

True or False: An exterior angle equals the sum of the two opposite interior angles.

True

False

Depends on the triangle

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Triangle Properties Challenge

Froggy Jumps

About this activity

Created by

Download the paper version to play

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Triangle Properties ChallengeOnline version

by jose gregorio sanchez de leon

What is the sum of interior angles in any triangle?

Which inequality must hold for a triangle's sides a, b, c?

In a 30-60-90 triangle, which statement is true?

In a 45-45-90 triangle, the hypotenuse is how many times a leg?

What is Heron's formula for the area of a triangle with sides a, b, c?

In an isósceles triangle, which angles are equal?

If two base angles of an isósceles triangle are 40°, what is the vertex angle?

Which set of sides can form a triangle: 3, 4, 8 or 5, 5, 9 or 3, 4, 6?

True or False: An exterior angle equals the sum of the two opposite interior angles.

Compute the area of a triangle with sides 5, 5, and 6 using Heron's formula.

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