Question

the sides of a triangle are 10 centimetre 24 cm and 26 cm find its area and the longest altitude​

Answer 1

Answer:

As the length of sides are a Pythagorean triplet,

10²+24²=26²

This is a right-angled triangle.

So,

The sides with 10cm and 24cm are the base and altitude, while the side with 26cm is the hypotenuse.

Area of triangle = 1/2 × 10×24

                          =120cm²

Also, its longest altitude is the 24cm side, since 10cm is shorter and the altitude from hypotenuse will also obviously be shorter.

Answer 2

Answer:

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Step-by-step explanation:

10,24 and 26 is Pythagorean triplet

in which hypotenuse is 26

so,

Area of triangle = 1/2× b×h

Area of triangle =1/2×10×24=120cm^2

longest altitude will be on shortest side(10)

so longest altitude =24cm