Question

Find the area of each of the following triangles:​

Answer 1

Step-by-step explanation:

find third side by Pythagoras

it will be 12

area of triangle = 1/2 * base * height

= 1/2 * 5 * 12

= 30

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Answer 2

Answer:

First we need to Find measure of 3rd side

Let's consider third side as " x "

• By Pythagoras theoram

5 ² + x² = 13²

$\implies$ 25 + x² = 169

$\implies$ x² = 169 - 25

$\implies$ x² = 144

$\implies$ x = $\boxed{\sf{12cm}}$

Therefore measure of third side is 12 cm .

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Now for area

As we know area of triangle :- 1/2 × Base × Height

: $\implies$$\dfrac{1}{2}$ × 12 × 5

: $\implies$$\dfrac{1}{2}$ × 60

: $\implies$$\boxed{\sf{30cm²}}$

Therefore , Area of the given triangle is 30cm²