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The diagram shows a right-angled triangle
15 cm
hcm
31
What is the value of h?
Give your answer correct to 1 decimal place.

Answer 1

27.1 cm

Explanation:

Find the diagram in the attached file below

Given the right angled triangle with height h, to get the value of h, we will use the Pythagoras theorem. The longest side of the triangle will be the hypotenuse while the other two sides are the opposite and adjacent respectively.

According to the theorem;

`hyp^(2) = opp^(2) + adj^(2)`

let the unknown side h be the opposite side.

hypotenuse = 31cm and adjacent = 15cm

`31^(2) = h^(2) + 15^(2)\\h^(2) = 31^(2) - 15^(2) \\h^(2) = 736\\h = √(736) \\h = 27.1 cm`

The value of h is 27.1 cm to 1 decimal place