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lions [1.4K]
2 years ago
12

A club at school designed a banner consisting of two congruent triangles surrounded by stripes. The length of the sides of each

of the triangles were 1.5 feet, 2.0 feet, 2.5 feet. Are the triangles right triangles? Explain
Mathematics
1 answer:
trasher [3.6K]2 years ago
6 0

Answer:

Yes. They are Right Triangles

Step-by-step explanation:

To determine if the triangles are right triangles, all you need to do is verify whether or not the dimensions satisfy the Pythagoras Theorem.

Pythagoras Theorem:Hypotenuse^2=Opposite^2+Adjacent^2

Note that in a right triangle, the l<u>ongest side is always the hypotenuse.</u>

Given the length of the sides 1.5 feet, 2.0 feet, 2.5 feet

2.5^2=1.5^2+2.0^2\\6.25=2.25+4\\6.25=6.25

Since the Pythagoras theorem holds, the triangles are in fact right triangles.

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Dave walked to his friends house at a rate of 4 mph and returned biking at a rate of 10 mph. If it took him 18 minutes longer to
vesna_86 [32]

Answer:

The total distance of the round trip was 4 miles

Step-by-step explanation:

1. Let's check all the information given to answer the question correctly:

Speed of Dave walking to his friend's house = 4 mph

Speed of Dave biking from his friend's house = 10 mph

Time walking is 18 minutes longer than time biking

2. What was the total distance of the round trip?

Time walking = x

Time biking = x - 18

For solving x, we will use the following equation:

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