Solve using Pythagoras Theorem (please)

Mathematics

1 answer:

aleksklad [387]3 years ago

3 0

Answer:

HA = 16.2 m

DE = 17 m

Step-by-step explanation:

From the base of the cuboid, HDA will form a right angle triangle, where;

DA = 15 m

HA = 6 m

HA is the hypotenuse

Using pythagoras theorem;

HA = √(15² + 6²)

HA = √(225 + 36)

HA = √261

HA = 16.155 m

Approximating to 1 decimal place gives;

HA = 16.2 m

Similarly, HDE will also form a right angle triangle.

Thus;

DE = √((HD)² + (HE)²)

HD = 16.2 m

HE = 5 m

Thus;

DE = √(16.2² + 5²)

DE = 16.95 m

Approximating to 1 decimal place gives

DE = 17 m

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<h3>What is distributive property of multiplication over addition?</h3>

Suppose a, b and c are three numbers. Then we have:

$a(b + c) = a\times b + a\times c$

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

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