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soldier1979 [14.2K]
3 years ago
13

A triangular pyramid is formed from three right triangles as shown below.

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
7 0

ΔADC is a right angle triangle, we will use the Pythagorus Theorem to find the length CD.

Formula of the Pythagorus Theorem :  

⇒ a² + b² = c²

⇒ AD² + CD² = AC²

The value of AD is 54 and the value of AC is 90:

54² + CD² = 90²

Solve for CD:

54² + CD² = 90²

CD² = 90² - 54²

CD² = 5184

CD = √5184

CD = 72

ΔADC is also a right angle triangle, we will use the Pythagorus Theorem to find the length BD.

Formula of the Pythagorus Theorem :  

⇒ a² + b² = c²

⇒ BD² + CD² = BC²

The value of CD is 72 and the value of BC is 97:

BD² + 72² = 97²

Solve for BD:

BD² = 97² - 72²

BD² = 4225

BD = √4225

BD = 65

Answer: The length of BD is 65 units.

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In every triangle,if one of those three angles has his measure more than 90°,then the triangle is optuse.
If all three angles are 60°,it means the triangle equiangular.

If one of those three angles is equal to 90°,the triangle is right.

If all the angles of the triangle have their measure less than 90°,the triangle is acute.

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Your triangle has an angle bigger than 90°,it means the triangle is optuse.

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lord [1]

Answer:

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First take

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Answer:

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Step-by-step explanation:

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